Question

In the adjoining figure bisectors AP and BQ of the alternate interior angels are parallel. Show that lines m and n are parallel

Answer 1

to prove- mis parallell to n

given-PA is parellel to BQ

proof-

angle PAB=angle ABQ. (alternate interior angles)

mul. both sides by 2

2× angle PAB =2×angle ABQ

whole angle A=whole angle B

as they both are alterrnate interior angles and they are equal m is parallel to n