Answered

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Sagot :

Supernova

Answer:

x = 10

Step-by-step explanation:

Diagonals of a rhombus bisect each other at a 90° angle, but most importantly (for this problem), they bisect the opposite angles of the rhombus equally.

This means that the two angles, given by the expressions (6x + 12) and (8x - 8), are equal to each other.

Set them equal to each other in an equation and solve for x.

  • 6x + 12 = 8x - 8

Subtract 6x from both sides.

  • 12 = 2x - 8

Add 8 to both sides.

  • 20 = 2x

Divide both sides by 2.

  • x = 10

The value of 10 for x will make the given parallelogram a rhombus.

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