Question

Find the measure of each angle of a regular polygon of 20 sides?

Answer 1

We know that, the sum of interior angles of an n polygon = (n – 2) × 180°

Here, n = 20, then

Sum = (20 – 2) × 180°

= 18 × 180° 

= 3240°

∴ The measure of each interior angle = `3240^circ/20` = 162°