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Alexus [3.1K]
3 years ago
15

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

Mathematics
1 answer:
gladu [14]3 years ago
8 0

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°.

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