Question

prove that prove that if two parallel lines are intersected by a transversal then alternate angles are equal​

Answer 1

Answer:

Because of the intercept theorum

Answer 2

Given:

• AB and CD are two parallel lines cut by a transdermal EF

To Prove:

• AGF=EHD

Proof:

AGF+BGF=180. (Linear Pair of Angles)

BGF=180-AGF. --1

BGF+EHD=180. (CO-interior angles)

From 1

180-AGF+EHD=180

-AGF+EHD=180-180=0

-AGF+EHD=0

EHD=AGH

Therefore AGH=END

Hence Proved.

Refer attachment for diagram.