Question

The exterior angle of regular polygon is 20degree.How many sided does it have?What is the measure of each interior angle.What id the total measure of its angles?​

Answer 1

The exterior angle=20°

Sum of exterior angles in a polygon is 360°

So number of sides=360°/20°=8 sides

The exterior angle will form a linear pair with the interior angle,

so interior angle=180°-20°=160°

Measure of sum of angles in a regular polygon=(n-2)*180°           (n=number of sides)

=(8-2)*180°=6*180°=1080°

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