Question

What is the value of n?

Answer 1

○ C. 95°

Explanation:

Deduct each exterior angle from 180°, according to the Supplementary Angles Theorem, to get your interior angles:

-144° + 180° = 36°

-121 + 180° = 59°

You have two of the interior angles, so to find the final one, we do this:

-95° + 180° = 85°

You now have your third interior angle measure, and now, it is hooked up to the exterior angle, n°. This is where the Supplementary Angles Theorem comes in again:

-85° + 180° = 95°

So, the m∠n is 95°.

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Answer 2

C. 95°

Explanation:

The up angle of the triangle is 180° - 121° = 59°

The right angle of the triangle is 180° - 144° = 36°

The left angle of the triangle is 180° - (59°+36°) = 180° - 95° = 85°

=> n° = 180° - 85° = 95°