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in Polygons by (30.3k points)
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Find the angle measure x in the given figure.

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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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