Mathematics
In figure (2) given below, ABCD is a parallelogram. Find the values of x and y.
Rectilinear Figures
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Answer
In parallelogram,
Opposite angles are equal
∴ ∠A = ∠C
⇒ 3x - 20° = x + 40°
⇒ 3x - x = 40° + 20°
⇒ 2x = 60°
⇒ x = 30°.
As AD || BC, sum of co-int ∠s = 180°.
⇒ ∠A + ∠B = 180°
⇒ 3x - 20° + y + 15° = 180°
⇒ 3(30°) - 20° + y + 15° = 180°
⇒ 90° - 20° + y + 15° = 180°
⇒ 85° + y = 180°
⇒ y = 95°.
Hence, x = 30° and y = 95°.
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