Question

Six angles of a heptagon have measures of 80°, 90°, 100°, 145°, 165° and 170°. The smallest of all the exterior angles measures ____.

80°
150°
190°
10°

Answer 1

Answer: 10°

Step-by-step explanation:

Since an exterior angle and its corresponding interior angle are supplementary, meaning they have a fixed sum, to minimize the exterior angle, we need to maximize the interior angle.

This means we need to consider the 170° interior angle, so the corresponding exterior angle is 10°.