Correct option is (c) 68°
We know that the diagonals of rectangles are equal and bisect each other.
∴ AC = BD
\(\frac 12\) AC = \(\frac 12\)BD [dividing both sides by 2]
OA = OB [Since, O is the mid-point of AC and BD]
∠2 = ∠1 = 34∘ [angles opposite to equal sides are equal]
We know that exterior angles is equal to the sum of two opposite interior angles.
In △AOB, we have
∠3 = ∠1 + ∠2 [Exterior angle property]
∴ ∠3 = 34∘ + 34∘ = 68∘
Hence, the acute angle between the diagonals is 68∘.
