The interior angles of a regular polygon measure 150 degree each. The number of diagonals of the polygon is
Answer (1)
30th Dec, 2019
For a n-sided regular polygon, Interior angle is given by, (180- 360/n).
Given that interior angle = 150.
=> 180 - 360/n = 150
=> 30 = 360/n
=> n = 12
Number of diagonals is given by nC2 - n = n(n-3)/2
=> No. of diagonals = 12*9/2
=> No. of diagonals = 6*9 = 54.
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