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The interior angles of a regular polygon measure 150 degree each. The number of diagonals of the polygon is


Zaid aijaz shaikh 30th Dec, 2019
Answer (1)
Rishi Garg 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.

1 Comment
Comments (1)
30th Dec, 2019
great answer
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