1.

Find x and y in parallelogram ABCD​

Answer»

Answer:

The value of X and y is 70° and 95° respectively.

Explanation:

Opposite angles of a parallelogram are equal. ∠A and ∠ B are opposite angles.

➞ ∠A = ∠B

➞ 3x - 20° = x + 40°

➞ 3x - x = 40° + 20°

➞ (3 - 1 ) x = 60°

➞ 2x = 60°

➞ x = 60°/2

➞ x = 30°

Value of x is 30°

ADJACENT angles of a parallelogram are supplementary. ∠B and ∠C are adjacent angles.

➞ ∠B + ∠C = 180°

➞ y + 15° + x + 40° = 180°

Substitute value of x

➞ y + 15° + 30° + 40° = 180°

➞ y + 85° = 180°

➞ y = 180° - 85°

➞ y = 95°

Value of y is 95°


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