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A star is formed by extending the sides of regular pentagon as shown in the sketch below.

Note: The outline of the figure is considered the 'star', the angles of the pentagon are not angles of the star. The star has five acute angles and five reflex angles. Note: Reflex angles have a measure between $180^\circ$ and $360^\circ$.

BCampbell Created for Albert.io. Copyright 2016. All rights reserved

What is the measure of each reflex angle of the star?

A

$180^\circ$

B

$216^\circ$

C

$252^\circ$

D

$261^\circ$

E

$272^\circ$

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