Question

if a transversal intersects two lines such that the bisectors of a pair of corresponding angles are parallel then prove that the two lines are parallel!!!?!

give the answer of this question!!❤️

wrong answer will be reported!!❎

best of luck!!❎❎​

Answer 1

Answer:

Let the angles be = /_A, /_B

Since the bisectors are equal, therefore:

$\tt{\frac{A}{2} = \frac{B}{2}}$

=> A = B

These are corresponding angles, when these are equal:

Thus, the lines are parallel.

Answer 2

Answer:

Answer:

Let the angles be = /_A, /_B

Since the bisectors are equal, therefore:

\begin{lgathered}\tt{\frac{A}{2} = \frac{B}{2}}\\\end{lgathered}

2

A

=

2

B

=> A = B

These are corresponding angles, when these are equal:

Thus, the lines are parallel