Q. 14.3( 169 Votes )

Find x in the following figures.

A.

B.

Answer :

 Sum of all exterior angles of polygon = 360o.   ..... (1)

A.

 

Triangle is the simplest polygon with three sides and three angles.

As, the sum of all the exterior angles of a polygon is 360°.

So for the given angles of the triangle from (1),

125° + 125° + x = 360°


⇒250° + x = 360°


⇒x = 110°


B.



The figure is having five sides and five angles.

This figure is a pentagon.

As, the sum of all the exterior angles of a polygon is 360°.

So for the given angles of the pentagon from (1),


60° + 90° + 70° + x + 90° = 360°


⇒ 310° + x = 360°


⇒ x = 50°

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