Introduction to Geometry Worksheet I 
                                                                                           
                                                                                           
                            1.  Given   LOM !83"  and   LON !142", find the measure of    MON . 
                             
                             
                                                                                        M
                                                                             L
                             
                                                                                     O         N
                             
                             
                            2.  Given   LOM !42"  and   LON !93", find the measure of   MON . 
                             
                             
                             
                                                                                   L
                                                                                         M
                             
                             
                                                                                  O         N
                             
                             
                            Find the measure of    x.
                            3.                                                                    4. 
                                             158
                             
                                               x      74                                                                  88
                                                                                                                    x
                                                                                                                        34
                             
                             
                             
                            Given   LON is a right angle,  find the measure of    x. 
                             
                            5.                                                                    6.   
                                        L                                                                              L
                                                                                                                             M
                                                                                                                        x
                                           5x      M                                                                      2x
                                              x                                                                      O           N
                                      O            N
                             
                             
                            7.                                                                    8.  
                                                                                                                    L
                                      L x+14                                                                                 M
                                                  M                                                                    x
                                                                                                                             x + 31
                                            x
                                       O            N                                                                O          N
                                                                                           
                                                                                         55
                   Find the measure of    x.
                    
                   9.                                                                      10.  
                    
                    
                                          x
                                                68                                                                       x    114
                                                                   l                                                                               l
                    
                    
                    
                   11.                                                                     12.    
                    
                    
                                                                                                                              131
                                                                                                                          x
                                           x   76
                                                                  l                                                          156
                                           172
                    
                    
                    
                   Find x. 
                    
                   13.                                                                     14.   
                    
                                           4x                                                                                   6x
                    
                                                    3x                                                                4x
                                         2x                                                                                         2x
                                                                   l                                                                               l
                    
                    
                   15.                                                                     16.  
                    
                                              x+20
                                        4x                                                                                   5x
                                                   3x                                                               x+45          3x
                                                                   l                                                                            l
                    
                    
                    
                    
                   17.                                                                     18.     
                    
                                                 4x
                                                                                                                            4x
                                          2x                                                                          5x       2x
                                                     x
                    
                                               3x
                                                                                                                              7x
                    
                    
                                                                                 56
                        
                       Find the measure of    x. 
                        
                       19.                                                     20.   
                                                                                                     129
                                                                                                         x
                                       x    82
                        
                        
                        
                        
                        
                       Find x. 
                        
                       21.                                                     22.                            m
                                                      j                                              2x+36
                        
                                     5x      4x + 20
                                                       k                                          5x
                        
                        
                                                                                                        l
                       Given l1 || l2,  find the measures of    a  and    b. 
                        
                       23.                         t                           24.         t
                        
                                              42      l1                                                         l
                                        a                                                                         1
                                         b            l                                       136      a
                                                      2                                                          l2
                                                                                                         b
                        
                        
                        
                       25.                                                     26.                         t
                              t
                        
                                        24            l1
                                              a                                                                  l1
                                          b           l                                          b      126
                                                      2                                             a            l
                                                                                                                  2
                        
                        
                       Given l1 || l2,  find x. 
                                                                                                         t
                       27.                          t                          28.   
                                                                                                                 l
                                                          l                                                       1
                                                          1                                           6x
                                               3x                                                  3x
                                           x                                                                   l2
                                                       l2
                        
                        
                                                                         
                                                                       57
               29.                        t                            30. 
                                                                                                 t
                                       x+20
                                                  l1
                                                                                                 x+50
                               3x                                                                          l1
                                               l2
                                                                                          4x
                                                                                                         l2
                
                
                   
               Find the measures of    x  and    y. 
                
               31.                                                     32.   
                
                                    135
                                                                                                    95
                
                                 76                                                              59
                                                                                         x          y
                            y         x
                
                
                
               33.                                                     34. 
                
                                          y                                                139
                
                                                                                                 y
                                x                                                            x
                       36
                
                
                
                
                
                
                
               ANSWERS 
                
               1.  59"     3.  84"     5.  15"     7.  38"     9.  112"     11.  112"     13.  20"     15.  20"     17.  36"     19.  98"      
               21.  20"     23.   a = 42",   b = 42"     25.    a = 156",   b = 24"     27.  45"     29.  40"      
               31.    x = 121",   y = 76"     33.    x = 36",   y = 126"            
                                                               58