Question

figure abcd is a rhombus. what is the value of x? (5x + 25)° (7x - 1)° o 13 o 14 o 26 o 28

Explanation:

1. Recall the property of a rhombus:

• In a rhombus, opposite - angles are equal. So, if \(\angle A=(5x + 25)^{\circ}\) and \(\angle C=(7x - 1)^{\circ}\), then \(5x+25 = 7x - 1\).

1. Solve the equation for \(x\):

• First, subtract \(5x\) from both sides of the equation \(5x+25 = 7x - 1\). We get \(25=7x - 5x-1\).
• Simplify the right - hand side: \(25 = 2x-1\).
• Then add 1 to both sides: \(25 + 1=2x\), which gives \(26 = 2x\).
• Divide both sides by 2: \(x = 13\).

Answer:

13