Question

check understanding
problems 1 - 2 show two parallel lines and a transversal. find the values of x.
1.
2.

Explanation:

Step1: Recall angle - relationship

When two parallel lines are cut by a transversal, corresponding angles are equal.

Step2: Solve for x in problem 1

Since the angle of 55° and \(x^{\circ}\) are corresponding angles, \(x = 55\).

Step3: Solve for x in problem 2

Since the angle of 123.25° and \(x^{\circ}\) are corresponding angles, \(x=123.25\).

Answer:

1. \(x = 55\)
2. \(x = 123.25\)