Question

Find the value of x and y so that the quadrilateral is a parallelogram.

Answer 1

Applying the properties of a parallelogram, the values of x and y are: x = 8; y = 20.9

Properties of a Parallelogram

• The opposite sides in a parallelogram have the same length.
• Opposite angles are equal.
• Adjacent angles in a parallelogram are supplementary.

4x - 17 = 2x - 1 (equal sides)

• Solve for x

4x - 2x = 17 - 1

2x = 16

x = 8

(3y+5) + (6y -13) = 180

• Solve for y

9y - 8 = 180

9y = 180 + 8

9y = 188

y = 20.9

Therefore, applying the properties of a parallelogram, the values of x and y are: x = 8; y = 20.9

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