Question

a transversal line intersect two Parallel Lines then prove that bisector of any pair of corresponding angle so formed are parallel​

Answer 1

Answer:

ABis parallel to CD & transversal EF intersct them at G and H respectively.

therefore ,angleEGB=angleGHD

1/2angleEGB= 1/2 angle GHD

angleEGM=angleGHN

thus,lines GM&HN are intersected by a transversal GH at G & H respectively .

therefore , the coreesponding angles are equal.

hence, GM||HN.