Question

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.

Answer 1

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°