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??

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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

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Refer the attachment ✌