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Sagot :
Answer:
x = 5
Step-by-step 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.
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