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Question

Quantitative Ability and Data Interpretation Question on Geometry

The figure below shows two right angled triangles ∆OAB and ∆OQP with right angles at vertex A and P, respectively, having the common vertex O, The lengths of some of the sides are indicated in the figure. (Note that the figure is not drawn to scale.) AB and OP are parallel.
What is ∠QOB?two right angled triangles ∆OAB and ∆OQP with right angles at vertex A and P

A

tan−1(23)tan^{-1}(\frac 23)

B

45°

C

30°

D

tan−1(32)tan^{-1}(\frac 32)

E

60°

Answer

45°

Explanation

Solution

The correct option is (B): 45°.