Question

using parallel lines find m∠1 and m∠2. explain your reasoning. 8.

Explanation:

Step1: Identify angle - relationship for ∠1

∠1 and the 135 - degree angle are corresponding angles. Since the lines are parallel, corresponding angles are equal. So, $m\angle1 = 135^{\circ}$.

Step2: Identify angle - relationship for ∠2

∠2 and the 135 - degree angle are alternate interior angles. Since the lines are parallel, alternate interior angles are equal. So, $m\angle2=135^{\circ}$.

Answer:

$m\angle1 = 135^{\circ}$, $m\angle2 = 135^{\circ}$