Question

Find the measure of each exterior and interior angle of a regular polygon with 11 sides

Answer 1

Answer:

Step-by-step explanation:

Let an exterior angle of a regular polygon be 'x’, then by data the interior angle is 11x

At each vertex, the adjacent angles, the exterior and interior angles are supplementary.

x+11x = 180°; so, exterior angle, x = 15° and each interior angle = 165°.

The sum of exterior angles of a polygon = 360°

Number of sides of the polygon = 360°/15° = 24 sides.

{24}-gon has 24 sides (edges), 24 vertices (corners) and 24 interior angles.