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Analytical Geometry> If each interior angle of a regular polyg...

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If each interior angle of a regular polygon is 150 degrees, then it is

(1)Octagon

(2) Decagon

(3)Dodecagon

(4) Tetrahedron

sneha jha , 16 Years ago

Grade Upto college level

2 Answers

Vijay Luxmi Askiitiansexpert

The sum of the exterior angle and interior angle of a regular polygon is 360⁰.

As the measure of each interior angle is 1500, the measure of each exterior angle will be 30⁰.

The number of sides of a regular polygon is given by the following relationship n = 360/exterior angle

As the value of each exterior angle is 30⁰, the number of sides = 12.

Last Activity: 16 Years ago

dheeraj gupta

yes ,correct answer is (3) .i.e Dodecagon

For do-decagon sides = 12

Last Activity: 16 Years ago

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