In quadrilateral ABCD, the bisectors of ∠A and ∠B meet at O and ∠AOB = 64°. ∠C + ∠D is equal to?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 128°.
(∠A/2) + (∠B/2) + 64° = 180°
⇒ (A + B)/2 = 116°
⇒ A + B = 232°
Now,
∠C + ∠D = 360° - (A + B)
⇒ ∠C + ∠D = 360° - 232° = 128°