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Question

There is a regular polygon whose each interior angle is 175
State true or false.

A
True
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B
False
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Solution

The correct option is A True
Given, a polygon whose each interior angles is 175o
Sum of interior angles of a polygon is = 180o(n2)
Each interior angle of a polygon = 180o(n2)n
180o(n2)n=175o
180on175on=360o
n=3605
n=72
Since, n (number of sides) is an integer, therefore there exist a polygon whose each interior angles is 175o

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