Question

proving lines parallel or not
given the figure below
a. are the line parallel?
b. why? because

Explanation:

Step1: Check the sum of angles

When two lines are parallel, the sum of the interior angles on the same side of a transversal is \(180^{\circ}\).

Step2: Calculate the sum

Given one angle is \(85^{\circ}\) and the other is \(95^{\circ}\), \(85 + 95=180\).

Answer:

a. Yes.
b. Because the sum of the interior angles on the same side of the transversal is \(180^{\circ}\).