219k views
22 votes
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°

User AVK
by
4.6k points

1 Answer

7 votes

Answer: 10°

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°.

User RoelVB
by
4.1k points