Question

Find the sum of the measure of the exterior angle of the convex polygon

Answer 1

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

Step-by-step explanation:

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

To find the sum, you can use the formula: sum = number of sides × 180 degrees. For example, if the polygon has 5 sides, the sum of the exterior angles would be 5 × 180 degrees = 900 degrees.

It should be recalled that an exterior angle is formed by extending one side of the polygon and measuring the angle between that side and the adjacent side.A convex polygon is a shape in which all of its sides are pointing or protruding outwards. No two line segments that form the sides of the polygon point inwards. Also, the interior angles of a convex polygon are always less than 180°. Convex is used to describe a curved or a bulged outer surface.

Answer 2

No matter what type of polygon you have, the sum of the exterior angles is ALWAYS equal to 360°. If you are working with a regular polygon, you can determine the size of EACH exterior angle by simply dividing the sum, 360, by the number of angles.