Question

For which value of x is the figure a rhombus?

A) x=6
B) x=7.5
C) x=12
D) x=18.75

Answer 1

In a rhombus all the sides are equal.
So the angles..
2x + 39 = 6x - 9
2x - 6x = -9 - 39
-4x = -48
4x = 48
x =12

Answer 2

Option C - x=12.

Step-by-step explanation:

Given : Figure with rhombus sides.

To find : For which value of x is the figure a rhombus?

Solution :

We know that,

Rhombus is a quadrilateral whose diagonals are angle bisectors.

In the figure, diagonal bisects the angle

i.e.  $2x+39=6x-9$

$39+9=6x-2x$

$48=4x$

$x=\frac{48}{4}$

$x=12$

The value of x is 12.

Therefore, option C is correct.

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For which value of x is the figure a rhombus

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