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The diagram shows a regular 11-sided polygon.

Work out the size of the angle marked d.
Leave answer to 2 decimal places where appropriate.

The diagram shows a regular 11-sided polygon. Work out the size of the angle marked-example-1

1 Answer

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Answer:

d = 32.73°

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 =
(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 =
(360)/(11)

= 32.7272

32.73°

User Nate Pinchot
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