Question

In a rectangle ABCD, the diagonals AC and BD intersect at O. If ∠OAB = 27°, ∠COD is equal to ______.

पर्याय

• 96°

• 116°

• 126°

• 54°

Answer 1

In a rectangle ABCD, the diagonals AC and BD intersect at O. If ∠OAB = 27°, ∠COD is equal to 126°.

Explanation:

In triangle AOB, we have OA = OB diagonals of a rectangle bisect each other.

So, triangle AOB is isosceles and ∠OBA = ∠OAB = 27°. 

Therefore, ∠AOB

= 180° – 27° – 27°

= 126°

The angle ∠COD is the vertical/opposite angle to ∠AOB at the intersection of the diagonals, so ∠COD = 126°.