Question

figure abcd is a rhombus. what is the value of x? (5x + 25)° (7x - 1)° 13 14 20 28

Explanation:

Step1: Use property of rhombus

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

Step2: Simplify the left - hand side

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

Step3: Isolate the variable term

Subtract 24 from both sides: \(12x=180 - 24\), so \(12x=156\).

Step4: Solve for x

Divide both sides by 12: \(x=\frac{156}{12}=13\).

Answer:

13