Question

1. solve for x given the lines are parallel:

Explanation:

Step1: Use the property of parallel lines

When two parallel lines are cut by a transversal, consecutive interior angles are supplementary. So, \(80^{\circ}+(x + 36)^{\circ}=180^{\circ}\).

Step2: Solve the equation for \(x\)

$$
LATEXBLOCK0
$$

Answer:

\(x = 64\)