Question

Use the image below and find x and y so that the quadrilateral is a parallelogram.

∠A=54, ∠B=12x+6, ∠C=6x+66, and ∠D=3y

Answer 1

(x, y) = (10, 18)

Explanation:

In a parallelogram, adjacent angles are supplementary, and opposite angles are congruent.

∠A = ∠D

54 = 3y

18 = y . . . . . divide by 3

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∠B = ∠C

12x +6 = 6x +66

6x = 60 . . . . . . . . . subtract 6x+6

x = 10 . . . . . divide by 6

The values of x and y are 10 and 18, respectively.