Question

figure abcd is a rhombus. what is the value of x? 13 14 26 28

Explanation:

Step1: Use the property of a rhombus

In a rhombus, adjacent angles are supplementary, so \((5x + 25)+(7x - 1)=180\).

Step2: Simplify the equation

Combine like - terms: \(5x+7x+25 - 1=180\), which gives \(12x+24 = 180\).

Step3: Solve for \(x\)

Subtract 24 from both sides: \(12x=180 - 24\), so \(12x=156\). Then divide both sides by 12: \(x=\frac{156}{12}=13\).

Answer:

13