Interior Angle of Polygon in terms of Exterior Angle

Last updated at Dec. 16, 2024 by

Let us consider a triangle ∆ ABC

 

Let ∠ 1 be the exterior angle

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Since BAD is a line

  ∠ A + ∠1 = 180°      (Linear Pair)

  ∠ 1 = 180° − ∠ A

 

So, in a polygon

  Interior angle + Exterior angle = 180°

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo