Question

Find the sum of the measures of the exterior angles of a convex 65-gon.

Answer 1

Answer is below

Explanation:

The sum of the measures of exterior angles on any shape is always 360 degrees.

If you meant to say the sum of the measures of the interior angles of a convex 65-gon, then it would be 11340 degrees.

(n-2)(180) Substitute

(65-2)(180) Subtract

(63)(180) Multiply

11340

Answer 2

The sum of the measures of its exterior angles is 360 degrees.

Therefore, the correct answer is D) 360.

The sum of the measures of the exterior angles of any convex polygon is always 360 degrees.

Each exterior angle is supplementary to its corresponding interior angle, and since the interior angles of a convex polygon with n sides add up to

(n−2)×180 degrees, the exterior angles must add up to 360 degrees.

In this case, for a convex 65-gon, the sum of the measures of its exterior angles is 360 degrees.

Therefore, the correct answer is D) 360.

Question

3. Find the sum of the measures of the exterior angles of a convex 65-gon. A 5.54 B 90 C 180 D 360