Question

7 for the rhombus, find the value of x.
(7x - 17)°
(5x + 9)°
x=______
10 find t belov

Explanation:

Step1: Recall rhombus angle property

In a rhombus, the diagonal bisects the angles. So, the two given angles \((7x - 17)^\circ\) and \((5x + 9)^\circ\) are equal.

Step2: Set up the equation

Set \(7x - 17 = 5x + 9\).

Step3: Solve for \(x\)

Subtract \(5x\) from both sides: \(7x - 5x - 17 = 5x - 5x + 9\), which simplifies to \(2x - 17 = 9\).
Add 17 to both sides: \(2x - 17 + 17 = 9 + 17\), so \(2x = 26\).
Divide both sides by 2: \(x=\frac{26}{2}=13\).

Answer:

13