Question

Given that ABCD is a rhombus, what is the value of x?

Answer 1

2x + 2(3x+7) = 180
2x + 6x + 14 = 180
8x = 166
x = 20.75

answer
B. 20.75

Answer 2

we know that

The rhombus has the following properties:

Consecutive angles are supplementary

The diagonals bisect the angles

so

`2x\°+2(3x+7)\°=180\°`

Divide by
`2` both sides

`x\°+(3x+7)\°=90\°`

solve for x

`4x=(90-7)\°`

`x=83/4\°`

`x=20.75\°`

therefore

the answer is the option B

`x=20.75\°`