Q. 94.1( 22 Votes )

# Find the angle measure *x* in the given figure.

Answer :

This is a regular pentagon, as all sides are of equal length.

AB = BC = CD = DE = EA

The sum of interior angles of poligon is

= (n – 2) × 180° [n is number of sides of polygon)]

= (5 – 2) X 180° [ for pentagon n=5]

= 540°

Since, it is a regular pentagon. It’s all interior angle will be equal.

Size of Interior Angle x = 540/5

= 108°

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