Question

what is the correct equation to use to solve for x?
a) 33+7x+5=180
b) -7x=33
c) 33+7x+5=90
d) 33=7x+5

Explanation:

Step1: Identify the relationship

The two angles \(33^{\circ}\) and \((7x + 5)^{\circ}\) are alternate - interior angles. Alternate - interior angles are equal.

Step2: Set up the equation

Since the two angles are equal, we can set up the equation \(33=7x + 5\)

Answer:

d) \(33 = 7x+5\)