ZA = (6x + 10),
Q. 22 The angles of a cyclic quadrilateral ABCD are
ZB = (5x), ZC = (x + y) and ZD = (3y – 10)°.
Find x and y and hence the values of the four angles.
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We know that, by property of cyclic quadrilateral,
Sum of opposite angles = 180°
∠A + ∠C = (6x + 10)° + (x + y)° = 180°
Hence, the required values of x and y are 20° and 30° respectively and the values of the four angles ;.e., ZA, ZB, ZC and ZD are 130°, 100°, 50° and 80°, respectively.
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