Question

Please answer this HELLLPPPP!!!!!

Answer 1

x = 10

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.