Given
To find:
The value of x.
Explanation:
It is given that,
Since the adjacent angles in a Rhombus is Supplementary.
Then,
[tex]\begin{gathered} \angle B+\angle C=180\degree \\ 90+[(3x-15)+(45-x)]=180 \\ 3x-15+45-x=180-90 \\ 2x+30=90 \\ 2x=90-30 \\ 2x=60 \\ x=\frac{60}{2} \\ x=30\degree \end{gathered}[/tex]
Hence, the value of x is 30°.
