Answer:
A. 13
Step-by-step explanation:
We have been given an image of a rhombus and we are asked to find the value of x.
Since we know that the diagonals of rhombus are perpendicular bisector of each other, so the measure of angle BMC will be equal to 90 degrees.
We can represent this information in an equation as:
[tex]m\angle BMC=90^{\circ}[/tex]
Upon substituting the expression for the measure of angle BMC is our equation we will get,
[tex](5x+25)^{\circ}=90^{\circ}[/tex]
[tex](5x+25)=90[/tex]
[tex]5x+25-25=90-25[/tex]
[tex]5x=65[/tex]
Let us divide both sides of our equation by 5.
[tex]\frac{5x}{5}=\frac{65}{5}[/tex]
[tex]x=13[/tex]
Therefore, the value of x is 13 and oprion A is the correct choice.
