Question

Two parallel lines are interesected by a transversal. Prove that the bisectors of alternate interior angles are parallel

Answer 1

Step-by-step explanation:

Given:Transversal PS of ABllCD intersects AB and CD at Q and R respectively

To Prove:L BQR=LQRC and LAQR=LQRD.

Proof: Transversal PS intersects parallel lines AB and CD at Q and R respectively

hence,LPQA=LQRC(corresponding angles axiom)

Also,LPQA=LBQR (vertically opposite angle)

therefore,LBQR=LQRC

Similarly it can be proved that

LAQR=LQRD

Answer 2

Answer:

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