Question

prove that if two parallel lines are intersected by a transversal then the bisector of any two corresponding angles are equal

Answer 1

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Let AB || CD & EF be the transversal passing through the two parallel lines at P & Q respectively ...

PR & QS are the bisectors of angle EPB & angle PQD . Since the corresponding angles of parallel lines are equal .

•°• angle EPB = Angle PQD

•°• 1/2 angle EPB = 1/2 angle PQD

•°• angle EPR = PQS ...


But they are corresponding ∆ of PR & QS ...

Since the corresponding ∆ are equal.....

•°• PR || QS ....

I hope it's helpful ☺️☺️✅!!!!!!!

Answer 2

Answer:

Hence proved

Step-by-step explanation:

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