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

| 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}

### Right Answer is: D

#### SOLUTION

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