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Question

If the interior angles of a pentagen measure x,(x10),(x+20),(2x44) and (2x70), then x = ___ .


A

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B

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C

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D

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Solution

The correct option is A


Sum of interior angles of a n sided polygon = (2n - 4) x 90°

A pentagon has 5 sides.

Sum of interiar angles of a pentagon =(104)×90

x+x10+x+20+2x44+2x70=6(90)

7x104=540

7x =644

x = 92°


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