Question

in the figure, parallel lines r and s are cut by line t. what is the value of x in this figure? 41 94 49 90

Explanation:

Step1: Identify angle - relationship

Parallel lines \(r\) and \(s\) are cut by line \(t\). The angle \(2x - 8\) and the right - angle are corresponding angles (or alternate interior/exterior angles depending on the exact definition used for parallel lines), so \(2x-8 = 90\).

Step2: Solve the equation for \(x\)

Add 8 to both sides of the equation \(2x-8 = 90\): \(2x=90 + 8=98\). Then divide both sides by 2: \(x=\frac{98}{2}=49\).

Answer:

49