Mathematics
In figure (2) given below, ABCD is an isosceles 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°
⇒ 2x + 3x = 180°
⇒ 5x = 180°
⇒ x =
⇒ x = 36°.
Opposite angles sum of a isosceles trapezium = 180°
∴ ∠A + ∠C = 180°
⇒ 2x + y = 180°
⇒ 2(36°) + y = 180°
⇒ 72° + y = 180°
⇒ y = 108°.
Hence, x = 36° and y = 108°.
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