Question

32. If a transversal intersects two parallel lines, then prove that
a) Its corresponding angle pairs are equal.
b) Each pair of its interior angles on the same side are supplementary
number line​

Answer 1

Answer:

its corresponding angle pairs are equal

Answer 2

Answer:

If a transversal intersects two lines such that a pair of corresponding angles is equal, then the two lines ate parallel to each other. Theorem 4: If a transversal intersects two parallel lines, then each pair of interior angles on the same side of the transversal is supplementary.

To prove :

Angle 8+angle 1=180°

Angle 5+angle 4=180°

Line segment dividing them is 1 so,

8+1=180(linear pair)

Next 5+4=180(linear pair)

Thereby these both are 180°

So hence it is proved..