Question

ABCD is a parallelogram.Bisectors of consecutive angles A and B intersect at O. Prove that angle AOB=90°.​

Answer 1

Step-by-step explanation:

ABCD is a parallelogram

as we know

∠A+∠B=180

0

OAbisects∠DAB&OBbisects∠CBA

toprove∠AOB=90

0

nowinΔAOB

∠OAB+∠CBA+∠AOB=180

0

2

1

∠DAB+

2

1

∠CBA+∠AOB=180

0

2

1

(∠DAB+CBA)+∠AOB=180

0

2

1

×180

0

+∠AOB=180

0

90

0

+∠AOB=180

0

∠AOB=180

0

−90

0

∠AOB=90

0

solution

Answer 2

Answer:

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