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abruzzese [7]
3 years ago
7

The diagram shows a regular 11-sided polygon.

Mathematics
1 answer:
solong [7]3 years ago
6 0

Answer:

d = 32.73°

Step-by-step explanation:

Angle 'd' is an exterior angle of the given polygon.

By the property of the exterior angles of a polygon, sum of exterior angles of a polygon is 360°.

And the measure of an exterior angle of a polygon = \frac{360}{n}

Here 'n' = Number of sides of the polygon

From the picture attached,

Number of exterior angles of the regular polygon = 11

Therefore, measure of the exterior angle = \frac{360}{11}

                                                                    = 32.7272

                                                                    ≈ 32.73°

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