ABCD is cyclic quadrilateral in which ∠A = x°, ∠B = 5y°, ∠C = 2x° and ∠D = y°. What is the value of (3x - y)?
Answer & explanation
Correct answer: option 3
\(\angle\)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.