Q. 55.0( 1 Vote )

AP and BQ are the bisectors of more two alternate angles which are formed by the intersection of parallel lines l and n by a transversal N. Show that AP || BQ.

Answer :

Given: l || n


If a transverse intersecting 2 lines and alternate angles forms are thus equal then 2 lines are parallel

If 2 lines are parallel then their alternate angles are equal

As l and n are parallel lines and N is the transverse

Alternate angles will be equal

Bisector of alternate angles is half of both alternate angles

If alternate angles are equal then half of alternate angles will also be equal

If 2 lines AP and BQ intersected by a transverse and its alternate angles are equal

Then AP and BQ are parallel

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