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Ananya notices a regular polygon-shaped manhole cover. She measures the angle she turns at each corner walking around it as 36°.
How many sides does the cover have, and what is its interior angle?

Class 8Angle Sum of PolygonsQuadrilaterals
  • A8 sides, 135°
  • B10 sides, 144°
  • C12 sides, 150°
  • D9 sides, 140°

Step-by-Step Solution

Turning angle is the exterior angle = 36°, so . Interior = 180 - 36 = 144°.
Answer: B) 10 sides, 144°

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