Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In the given figure, if ∠APO = 35°, then which of the following options is correct ?

Options:

∠APB = 60°

∠APB = 80°

∠BPO = 35°

∠BPO = 55°

Correct Answer:

∠BPO = 35°

Explanation:

In triangle APO and BPO

OA = OB

AP = BP   ( Tangents of circle )

∠A = ∠B

So, Triangle APO ≅ BPO

⇒ ∠APO = ∠BPO

( It is  given that , ∠APO = 35° )

⇒ ∠BPO  = 35°