Question

Pls help me with this.
Prove that quadrilateral formed by the intersection of bisectors of interior angles made by a transversal on two parallel lines is a rectangle.

Answer 1

RS, PS, PQ and RQ are bisectors of interior angles formed by the transversal with the parallel lines. Therefore quadrilateral PQRS is a parallelogram as both the pairs of opposite sides are parallel. That is PQRS is a parallelogram and one of the angle is a right angle.



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