Question

if an exterior angle of a regular nonagon is 40°, the sum of the measures of all the other exterior angles is​

Answer 1

Answer:

The measure of an exterior angle of a regular nonagon is 40 degrees.Explanation:

By using the formula (n - 2) × 180 / n, we can find the measure of an interior angle of a regular polygon.

Therefore, by substituting n = 9 to the above formula, we get 140 degrees.

Also, we know that: interior angle + exterior angle = 180 degrees

Therefore, we get the measure of an exterior angle by the above formula, that is, 180° - 140° = 40 degrees.