The sum of the interior angles of a triangle is always 180°. Therefore, we can find the measure of ∠C by subtracting the measures of ∠A and ∠B from 180°:
m∠C = 180° - (m∠A + m∠B)
m∠C = 180° - (87° + 32°)
m∠C = 180° - 119°
m∠C = 61°
The exterior angle ∠1 is supplementary to interior angle ∠C, so the measure of ∠1 is:
m∠1 = 180° - m∠C
m∠1 = 180° - 61°
m∠1 = 119°
Therefore, the measure of the exterior angle ∠1 is 119°.
If m∠A = 87° and m∠B = 32°, find the measure of the exterior angle, ∠1.
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