Question

If m∠A = 87° and m∠B = 32°, find the measure of the exterior angle, ∠1. Responses A 29°29° - no response given B 61°61° - incorrect C 83°83° - no response given D 107°107° - no response given E 119°

Answer 1

[AI-generated answer — Bot GPT 3.5]

The sum of the exterior angles of a triangle is always 360°.

Since m∠A = 87° and m∠B = 32°, we can find m∠C by:
m∠C = 180° - (m∠A + m∠B) = 180° - (87° + 32°) = 180° - 119° = 61°

Now, the exterior angle ∠1 is supplementary to the interior angle ∠C. Therefore:
∠1 = 180° - m∠C = 180° - 61° = 119°

Therefore, the measure of the exterior angle ∠1 is 119°.

The correct answer is E) 119°.