Question

Consider a regular polygon with 20 sides

a)How much is each of its outer angle?

b)How much is each of its inner angle?​

Answer 1

Hey mate!❤

A polygon having 20 sides are know as icosagon!

a) The exterior angles will be measured by (360˚/n) where n represents sides .

→The measure of exterior angle will be 360˚/20 = 18˚.

Hence , the measure of each outer or exterior angle will be 18˚ .

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b) The sum of the interior angles in a regular polygon is represented by 180˚ (n - 2) , n represents sides .

→180˚ (20 - 2) = 180˚ × 18 = 3240˚

→We need to find one angle so we will divide 3240˚ by 20 .

→3240˚/20 = 162˚

Hence , measure of each inner or interior angle will be 162˚ .