Question

if a transversal intersects two parallel lines ,then prove that each pair of alternative interior angle is equal

Answer 1

To prove : angle 3=angle 6 and angle 2=angle 5

proof: angle 3=angle 1(vertically opposite angle )

angle 1=angle 6 (corresponding angle)

so, angle 3=angle 6------(1)

angle 2=angle 4 (vertically opposite angle)

angle 4=angle 5 (corresponding angle)

so, angle 2=angle 5.-----(2)

Hence, 1 and 2 are proved.