Question

Prove that if two parallel lines are intersected by a transversal, then bisectors of any two corresponding angles are parallel.

Answer 1

Hey kiya  Here is your solution...  Let AB ║ CD and EF be the transversal passing through the two parallel lines at P and Q respectively. PR and QS are the bisectors of ∠EPB and ∠PQD.  Since the corresponding angles of parallrl lines are equal, ∴∠EPB = ∠PQD ∴1/2 ∠EPB = 1/2 ∠PQD ∴∠EPR = ∠PQS  But they are corresponding angles of PR and QS Since the corresponding angles are equal ∴ PR ║ QS  Please mark this as brainiest,kiya