Advertisements
Advertisements
Question
In a rectangle ABCD, the diagonals AC and BD intersect at O. If ∠OAB = 27°, ∠COD is equal to ______.
Options
96°
116°
126°
54°
MCQ
Fill in the Blanks
Advertisements
Solution
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°.
shaalaa.com
Is there an error in this question or solution?
