Question

Find the value of x that makes the shape a rhombus.

Answer 1

Given:

CDEF is a rhombus.

To find:

The value of x.

Solution:

We know that the diagonals of a rhombus are angle bisectors because they bisect each vertex angle.

$5x+1=8x-20$

$5x-8x=-1-20$

$-3x=-21$

Divide both sides by -3.

$x=\dfrac{-21}{-3}$

$x=7$

Therefore, the value of x is 7.