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)

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) (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 = , and another = , so third = 180 - (50 + 60), or 180 - 110, or

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

The exterior angle of the interior angle = 180 - 60, or

The exterior angle of the interior angle = 180 - 80, or

This means that is the ODD one out.

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