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

 

https://snag.gy/MsEfJc.jpg

 

Explain why m<4 is equal to the sum of the measures of the two nonadjacent interior angles.

 Feb 12, 2019
 #1
avatar+101871 
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The sum of angle 3 + angle  4 = 180

 

The sum of the interior angles of the triangle = 180

 

So

 

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

 

angle 4 =  55 + 20   =  sum of the measures of the two non-adjacent interior angles

 

 

cool  cool cool

 Feb 12, 2019
edited by CPhill  Feb 12, 2019

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