Question

two lines are intersected by a transversal such that the bisector of a pair of corresponding angles are equal prove that lines are parallel

Answer 1

Let the angle bisectors be a and b respectively. They would also have the same transversal y. Let the pair of corresponding angles be ∠1 and ∠2. Let the bisected angle be x

Therefore

∠1=x+x

∠2=x+x

(as bisected pair of corresponding angles is given equal)

∠1=2x

∠2=2x

From the above, ∠1=∠2

If 2 lines are intersected by a transversal such that pair of corresponding angles is equal, then lines are parallel.

mark as brainliest

Answer 2

It may help you

♡Thank you♡