Question

two parallel lines l and m are intersected transversal p . show that the quadrilateral formed by the bisectors of interior angles is parallelogram​

Answer 1

Step-by-step explanation:

AI,BL are bisector of p and I

Am,BM are bisector of p and m

note that AL ll BM and BL ll AM

>BL =AM (shortest distance between ll lines ,AL,BM)

similarly AL =BM (: BL ll AM)

therefore AL BN is a rectangle