In a polygon two of its interior angles are each equal to 90° and rem – InterviewSolution

1.

In a polygon two of its interior angles are each equal to 90° and remaining angles are 150° each. Find the number of sides of the polygon.

Answer»

Suppose number of sides of the polygon be n.

According to problem

2 x 90° + (n – 2) x 150°=(2n – 4) x 90°

⇒ 180 + 150n – 300 = 180n – 360°

⇒ 360 – 300 + 180 = 180n – 150n

⇒ 240 = 30n

⇒ n = 8

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