Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

ABCD is cyclic quadrilateral in which ∠A = x°, ∠B = 5y°, ∠C = 2x° and ∠D = y°. What is the value of (3x - y)?

Options:

120

90

150

60

Correct Answer:

150

Explanation:

\(\angle\)A + \(\angle\)C = 180

= x + 2x = 180

= 3x = 180

= x = \({60}^\circ\)

\(\angle\)B + \(\angle\)D = 180

5y + y = 180

= 6y = 180

= y = \({30}^\circ\)

(3x - y) = (60 x 3 - 30)

= 180 - 30 = 150

Therefore, (3x - y) is 150.