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CBSE Class 9 Answered

Prove that the bisectors of any two consecutive angles of parallelogram intersect at right angles.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer

As ABCD is a parallelogram

AD||BC and AB is a transversal.

DAB + ABC = 180o [Angles on the same side of transversal]

1 + 2 = 90o

In AOB ,1 + 2 + AOB = 180o

90o + AOB = 180o

AOB = 90o

Therefore, the bisectors of any two consecutive angles of parallelogram intersect at right angles.

Answered by | 04 Jun, 2014, 03:23: PM

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