Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In a circle with center O, PQRS is a cyclic quadrilateral and PR is the diameter. Chords PQ and SR are produced to meet at T. If ∠RPT = 34° and ∠T = 30°, then ∠RPS is equal to ?

Options:

34°

26°

36°

45°

Correct Answer:

26°

Explanation:

In ΔPRT, ∠PRS = 30° + 34° = 64°

∠PSR = 90°      (PR in diameter)

∠SPR = ∠SQR = 26°