Question

11. The interior angle of a regular polygon is twice its exterior angle. Find the sum of
measures of all its interior angles.
a) 4 right angles. b) 8 right angles. c) 6 right angles. d) 12 right angles​

Answer 1

Answer:

(b)8 right angles

Step-by-step explanation:

Let the Interior angle = y = 2x

Let the exterior angle = x

Interior angle+Exterior angle = 180°

2x+x=180°

=>3x=180

=>x = 60

Exterior angle = 60°

Interior angle = 2x = 2*60 = 120°

No. of sides = 360/60 = 6 sides

Sum of interior angles = 6*120=720°

No. of right angles = 720/90=8 right angles

So, the correct option is (b) 8 right angles

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