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In the figure, <4 is an exterior angle to VAUL.

https://snag.gy/DzjPhX.jpg

(Explain why is equal to the sum of the measures of the two nonadjacent interior angles.

ANSWER 

the sum of the interior angles of the triangle is 180 so angle 3 +4=3+55+20

 

is this correct

 Mar 4, 2019
edited by Guest  Mar 4, 2019
 #1
avatar+103917 
+1

You are close

 

Note that    3 and 4 are supplemental....so  3 + 4 = 180     (1) 

 

And 3 + 20° + 55°   = 180     (2)

 

Equating (1) and (2) we have

 

3 + 4 =    3 + 20° + 55°          subtract  3 from both sides

 

So....

 

4 =  20°+ 55°

 

 

cool  cool cool

 Mar 4, 2019

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