Question

find the measure of each exterior angle, sum of interior angles and number of diagonal for a regular 12 sided polygon

Answer 1

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Exterior Angle❇

Formula = Angle = $\frac {360}{sides}$

Putting values,

=Angle = $\frac {360}{12}$

= Angle = 30°

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Interior Angle❇

Formula = (n - 2) × 180

Putting values,

= (12 - 2) × 180

= 10 × 180

= 1800°

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No. of Diagonal❇

Formula = n (n-3) ÷ 2

Putting values,

= 12(12-3) ÷ 2

= 12× 11 ÷ 2

= 132 ÷ 2

= 66

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