Let us consider a triangle ∆ ABC

Let ∠ 1 be the exterior angle

Since BAD is a line

∠ A + ∠1 = 180° (Linear Pair)

∠ 1 = 180° − ∠ A

So, in a polygon

**
Interior angle + Exterior angle = 180°
**

Last updated at Aug. 4, 2018 by Teachoo

Let us consider a triangle ∆ ABC

Let ∠ 1 be the exterior angle

Since BAD is a line

∠ A + ∠1 = 180° (Linear Pair)

∠ 1 = 180° − ∠ A

So, in a polygon

**
Interior angle + Exterior angle = 180°
**

Sum of Exterior Angles of Polygons

Exterior Angles of a Polygons

Sum of Exterior Angles of Polygons

Example 1

Ex 3.2, 1 Important

Exterior Angles of Regular Polygons

Ex 3.2, 2

Example 2 Important

Ex 3.2, 3

Interior Angles of Regular Polygons

Interior Angle of Polygon in terms of Exterior Angle You are here

Ex 3.2, 4 Important

Ex 3.2, 5 Important

Ex 3.2, 6 Important

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.