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Question

Is it possible to have a regular polygon whose each interior angle is 138
State true or false:

  1. True
  2. False

A
True
B
False
Solution
Verified by Toppr

Let number of polygon = n (which must be an integer)
Sum of all interior angles is n×138o
Sum of all interior angles of a polygon is 180o(n2)
=>n×138o=180o(n2)
=>42on=360o
=>n=607
Their is no possibility to have a regular polygon whose each interior angle is 138o

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