The measure of an exterior angle adjacent to any interior an

The measure of an exterior angle adjacent to any interior angle of a regular enneagon would be ___ degrees

Solution

To find exterior angles , start by finding the sum of interior angles.

So let\'s do it for a regular enneagon (9 sided shape).

The sum of interior angles of a nonagon = (n-2) X 180 degrees = 7 X 180 = 1260 degrees.

So one interior angle is 1260 divided by 9 sides, which is 140 degrees.

So, The measure of an exterior angle adjacent to any interior angle of a regular enneagon would be 180-140 = 40 degrees