Q 1 The interior angle of a regular polygon is double its exterior angle, find the number of sides - Maths - Playing with numbers

Question

Q 1 The interior angle of a regular polygon is double its exterior
angle, find the number of sides of the polygon Name the polygon
formed

Varun Rawat · Accepted Answer

Let n be the number of sides of the polygon
Now, measure of each interior angle = n-2×180°n Now, measure of each exterior angle = 360°nNow, measure of each interior angle = 2×measure of each exterior angle⇒n-2×180°n  = 2 ×360°n⇒n-2×180° = 2 ×360°⇒n - 2 = 4⇒n = 6So, number of sides of polygon = 6Name of the polygon is Hexagon

Q.1. The interior angle of a regular polygon is double its exterior angle, find the number of sides of the polygon. Name the polygon formed.