Question

When two parallel lines are intersected by a transversal, the prove that the

bisectors of corresponding angles are also parallel.​

Answer 1

Step-by-step explanation:

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.

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