Q5 of 32 Page 60

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.


Given: l || n


Theory:


⇒ 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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