we know that
The rhombus has the following properties:
Consecutive angles are supplementary
The diagonals bisect the angles
so
[tex]2x\°+2(3x+7)\°=180\°[/tex]
Divide by [tex]2[/tex] both sides
[tex]x\°+(3x+7)\°=90\°[/tex]
solve for x
[tex]4x=(90-7)\°[/tex]
[tex]x=83/4\°[/tex]
[tex]x=20.75\°[/tex]
therefore
the answer is the option B
[tex]x=20.75\°[/tex]
