A geometry problem by Arm Nuttavut

Geometry Level 2

What is size of each inner angle of regular pentangon ? (In degree)


The answer is 108.

Arm Nuttavut by Arm Nuttavut , 26, Thailand

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2 solutions

Formula to calculate interior angle = 180(n-2)/n , where , n is the no. of sides of the polygon.

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The sum of interior angles of a regular polygon is ( n − 2 ) ( 180 ) (n-2)(180) where n n is the number of sides.

Substituting, we get

( 5 − 2 ) ( 180 ) = 3 ( 180 ) = 540 (5-2)(180)=3(180)=540

Since there are 5 5 vertices, we simply divide 540 540 by 5 5 to get 10 8 ∘ 108^\circ .

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