Q. 133.7( 9 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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