Questions: Find the measure of the exterior angle. The measure of the exterior angle of the triangle is 7°.

Find the measure of the exterior angle.

The measure of the exterior angle of the triangle is 7°.
Transcript text: Find the measure of the exterior angle. The measure of the exterior angle of the triangle is $7^{\circ}$.
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Solution

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Solution Steps

Step 1: Find the third interior angle

The sum of the interior angles of a triangle is 180°. Let the third angle be _x_. Then 75° + 64° + _x_ = 180°. So, _x_ = 180° - 75° - 64° = 41°.

Step 2: Find the exterior angle

The exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles. Therefore, the exterior angle is 75° + 64° = 139°.

Final Answer

139

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