Question

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Answer 1

x = 5

Explanation:

The opposite sides of a parallelogram must be parallel to each other, and this is shown by the equivalent opposite interior angles on each side of the bisector.

Since the opposite sides of a parallelogram are parallel, they must be of equal length (this is one of the fundamental properties of a parallelogram).

Therefore, we can set (18x - 5) and (16x + 5) equal to each other in an equation and solve for x.

• 18x - 5 = 16x + 5

Subtract 16x from both sides.

• 2x - 5 = 5

Add 5 to both sides.

• 2x = 10

Divide both sides by 2.

• x = 5

The value of 5 for x must make ABCD a parallelogram.