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

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

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

Answer

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