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

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.