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

Question

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696

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+687

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

hoiuu Mar 4, 2019

edited by Guest Mar 4, 2019

CPhill · Answer 1 · 2019-03-04T06:55:13

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°