If m∠A = 87° and m∠B = 32°, find the measure of the exterior angle, ∠1.
Responses
A 29°29°
B 61°61°
C 83°83°
D 107°107°
E 119°
To find the measure of the exterior angle ∠1, we can use the fact that the sum of the measures of an exterior angle and its corresponding interior angle is 180 degrees.
The interior angle corresponding to ∠1 is ∠A + ∠B = 87° + 32° = 119°.
Therefore, ∠1 + 119° = 180°.
Subtracting 119° from both sides, we get ∠1 = 180° - 119° = 61°.
So, the measure of the exterior angle ∠1 is 61°.
Therefore, the answer is B) 61°.