ABCD is cyclic quadrilateral in which ∠A = x°, ∠B = 5y°, ∠C = 2x° and ∠D = y°. What is the value of (3x - y)?
Explanation:
ABCD is cyclic quadrilateral.
Opposite angles in a cyclic quadrilateral are supplementary.
∠A + ∠C = 180°+
x + 2x = 180°
3x = 180°
x = 60°
∠B + ∠D = 180°
5y + y = 180°
6y = 180°
y = 30°
3x - y = 3(60) - 30 = 150
Hence, the correct answer is Option C
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