Question

a. solve for the value of x. 2x - 15

Explanation:

Step1: Use the property of corresponding angles

Since \(FG\parallel HI\) and \(DE\) is a transversal, \((2x - 15)^{\circ}\) and \(59^{\circ}\) are corresponding angles. Corresponding angles are equal. So, \(2x-15 = 59\).

Step2: Solve the equation for \(x\)

Add \(15\) to both sides of the equation: \(2x=59 + 15\). Then \(2x=74\). Divide both sides by \(2\): \(x=\frac{74}{2}\).

Answer:

\(x = 37\)