Question

Please help find the amount of interior angles in the shape.

Answer 1

The polygon has 11 sides.

The measure each interior angle is 147.272°.

Solution:

The given shape is a regular polygon.

(a) Number of sides of the polygon = 11

The polygon has 11 sides.

(b) To find the measure of each interior angle:

Each interior angle of a regular polygon

                                    $=\frac{(n-2) \times 180^{\circ}}{n}$

                                    $=\frac{(11-2) \times 180^{\circ}}{11}$

                                     $=\frac{9 \times 180^{\circ}}{11}$

                                     $=147.272^\circ$

The measure each interior angle is 147.272°.