Q12 of 95 Page 15

In a parallelogram ABCD, if ∠A=(3x-20)°, ∠B = (y+15)° and ∠C = (x+40)°, then find the values of x and y.

Given,


In parallelogram ABCD


Opposite Angles are equal.


∴ ∠ A = ∠ C


⇒ 3x-20 = x + 40


⇒ 2x = 60


⇒ x = 30


Consecutive angles are supplementary (A + B = 180°).


⇒ 3x – 20 + y + 15 = 180


⇒ 3x + y = 185


⇒ 3 × 30 + y = 185


⇒ y = 185 – 90 = 95


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