Name________________________

EXTERIOR ANGLES OF A TRIANGLE  #4

Directions:  Find the measurement of each missing angle in the triangles below.  Remember, the Exterior Angles Theorem states that the exterior angle is congruent to the sum of the two non-adjacent angles.  For example, in Problem 1, the exterior angle (x) is congruent to the sum of the two angles furthest away (60̊ & 70̊).  Be careful, sometimes you’ll need to find the measure of an interior angle.			  

C

A

A

C

C

11x

125̊

55̊

6x

1)              	         	                2)                                              3)                                          4)  

4x

B

10x

7x

 

14x

68̊

130̊

6x

B

A

112̊

150̊

7x

B

B

C

A

      x = _______                                   x = _______                                        x = _______                                  x = ______

  _______                            _______                                   _______                               _______
   
  _______                           _______                                  _______                               _______           

B

A

A

143̊

130̊

C

A

x+8

3x

53̊

6x+3

127̊

37̊

5)                                           6)                                             7)                                           8)  

B

2x

7x+3

4x-1

136̊

2x

C

C

B

7x+2

122̊

58̊

A

C

B

       x = _______                                   x = _______                                 x = _______                                  x = ______

   _______                              _______                              _______                             _______

   _______                            _______                              _______                              _______

B

C

C

A

A

117̊

2x+4

125̊

x

55̊

4x

9)              	         	               10)                                              11)                                          12)  

73̊

 

3x-1

4x

7x-4

x+1

139̊

5x

B

C

C

A

150̊

30̊

A

B

B

         x = _______                                   x = _______                                  x = _______                                x = ______

     _______                               _______                             _______                            _______

     _______                             _______                             _______                            _______