SOLUTION: Question: Two of the angles of a triangle have measures of 50 degrees and 60 degrees. Which number cannot be the measure of an exterior angle of this triangle? a)100 b)110 c)

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Question 664798: Question: Two of the angles of a triangle have measures of 50 degrees and 60 degrees. Which number cannot be the measure of an exterior angle of this triangle?
a)100
b)110
c)120
d)130
I'm confused because I thought that triangles had to measure to 180 degrees? Or is that just interior angles? Help me please! Thank you!
Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

Question: Two of the angles of a triangle have measures of 50 degrees and 60 degrees. Which number cannot be the measure of an exterior angle of this triangle?

One angle = 50%5Eo, and another = 60%5Eo, so third = 180 - (50 + 60), or 180 - 110, or 80%5Eo

As interior and exterior angles are supplementary (sum to 180%5Eo), the exterior angle of the 50%5Eo interior angle = 180 - 50, or 130%5Eo

The exterior angle of the 60%5Eo interior angle = 180 - 60, or 120%5Eo

The exterior angle of the 80%5Eo interior angle = 180 - 80, or 100%5Eo

This means that highlight_green%28110%5Eo%29 is the ODD one out.

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