Mathematics
In figure (1) given below, ABCD is a trapezium. Find the values of x and y.
Rectilinear Figures
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Answer
Sum of adjacent co-interior angles of a trapezium = 180° (As AB || DC)
∴ ∠A + ∠D = 180°
⇒ x + 20° + 2x + 10° = 180°
⇒ 3x + 30° = 180°
⇒ 3x = 150°
⇒ x =
⇒ x = 50°.
∴ ∠B + ∠C = 180°
⇒ 92° + y = 180°
⇒ y = 180° - 92° = 88°.
Hence, x = 50° and y = 88°.
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