In quadrilateral ABCD, ∠ C = 72 o and ∠ D = 28 o. The bisectors of ∠ A

Question

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Asked: March 16, 2021In:

| In quadrilateral ABCD, ∠C = 72^o and ∠D = 28^o. The bisectors of ∠A and ∠B meet in O. What is the measure of ∠AOB?

A. 48^o

B. 54^o

C. 36^o

D. 50^o

A.T.Q.

We know, Sum of all the angles of a Quadrilateral is 360°.

So,

Now, A.T.Q.

OA and OB are angle bisectors of angle A and B respectively;

So, in ∆AOB-

Also,

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Anonymous · Answer 1 · March 17, 2021

Anonymous

In quadrilateral ABCD, ∠ C = 72 o and ∠ D = 28 o. The bisectors of ∠ A