Measure of each interior angle of a regular polygon

Asked by admin @ 20/08/2021 in Math viewed by 340 People

Find the measure of each interior angle of a regular pentagon and regular hexagon(using formula) .

Answered by admin @ 20/08/2021

No. of sides in a regular Pentagon =5

Sum of exterior angle =360°

each exterior angle =360°/no of sides

=360/5

=72°

THEREFORE each interior angle =180°-72°

=108°

No of sides in a regular hexagon=6

Sum of exterior angle=360°

each exterior angle=360°/6

=60°

therefore each interior angle =180°-60°

=120°

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