Question

two parallel lines ab and CD are intersected by a transversal PQ. show that the quadrilateral formed by the bisectors of interior angles is a parallelogram​

Answer 1

Step-by-step explanation:

angle apq equals angle pqd so their bisectors will also be equal then,angle rpq equals angle .Similarly angle par equals angle ups. Given, the 2 lines are parallel so,the bisectors of the alternate angles will also be equal and parallel.In a parallelogram the opposite sides are equal and parallel. so the given figure is a parallelogram.