Question

figure abcd is a parallelogram. if abcd is also a rhombus, what must be the value of x? (5x + 25)° 13 15 18 23

Explanation:

Step1: Recall rhombus property

In a rhombus, the diagonals are perpendicular. So, $\angle BMC = 90^{\circ}$.

Step2: Set up the equation

We are given that $\angle BMC=(5x + 25)^{\circ}$. Set $5x+25 = 90$.

Step3: Solve for x

Subtract 25 from both sides: $5x=90 - 25=65$. Then divide both sides by 5: $x=\frac{65}{5}=13$.

Answer:

13