Question

what is the correct equation to use to solve for x? 33 = 7x + 5 -7x=33 33+7x+5=180 33+7x+5=90

Explanation:

Step1: Use the property of alternate - interior angles

When two parallel lines \(a\) and \(b\) are cut by a transversal, the angle of \(33^{\circ}\) and the angle \((7x + 5)^{\circ}\) are alternate - interior angles.

Step2: Set up the equation

By the alternate - interior angles theorem (if two parallel lines are cut by a transversal, then alternate - interior angles are congruent), we have \(33=7x + 5\).

Answer:

\(33 = 7x + 5\)