A closed polygon has six sides and one of its angles is 30° great

A closed polygon has six sides and one of its angles is 30° great
| A closed polygon has six sides and one of its angles is 30° greater than each of the other five equal angles. What is the value of the equal angles?

A. 55°

B. 115°

C. 150°

D. 175°

Please scroll down to see the correct answer and solution guide.

Right Answer is: B

SOLUTION

Let the equal angles be x and the larger angle be x + 30

Sum of angles = 5x + x + 30 = 6x + 30

Sum of angles of a six sides polygon = (n – 2) × 180 = (6 – 2) × 180 = 720

⇒ 6x + 30 = 720

⇒ 6x = 690

∴ x = 115° 

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