In a circle with centre O, chords

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

In a circle with centre O, chords PR and QS meet at the point T, when produced, and PQ is a diameter. If ∠ROS = 42^o, then the measure of ∠PTQ is

Options:

59^o

58^o

48^o

69^o

Correct Answer:

69^o

Explanation:

We know that,

∠PTQ = $\frac{1}{2}$ × (180 - ∠ROS )

∠PTQ = $\frac{1}{2}$ × (180 - 42)

= ∠PTQ = 69°