Proof of Alternate Exterior Angle Equal

Last updated at Dec. 16, 2024 by

Let’s prove alternate exterior angles ∠1 & ∠8 equal

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For parallel lines l and m,

with transversal p,

  ∠1 = ∠5       (Corresponding angles)  …(1)

 

Also,

  ∠5 = ∠8               (Vertically opposite angles)  …(2)

 

From (1) & (2)

  ∠1 = ∠5

Proof of Alternate Exterior Angle Equal - Part 2

 

Hence,

Alternate Exterior Angles are equal. 

 

 

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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