Question

What is the measure of angle 1? A triangle has angles 29 degrees, 65 degrees, and 2. The exterior angle to angle 2 is 1. 36° 86° 89° 94°.

Answer 1

94°

or d

Explanation:

Answer 2

94°

Explanation:

The exterior angle is equal to the sum of the remote interior angles.

∠1 = 29° +65° = 94°

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Additional comment

You can see this when you realize that both the sum of the remote angles and the exterior angle are supplementary to the third interior angle, ∠2. Angles supplementary to the same angle are congruent. That is, the sum of 29° and 65° is congruent to ∠1.