Question

the figure shows two parallel lines intersected by a transversal. what is m∠1? m∠1 =

Explanation:

Step1: Identify the angle relationship

The two lines are parallel and cut by a transversal. The angle of $45^\circ$ in the upper intersection and $\angle 1$ are corresponding angles (or alternate interior angles, depending on the position). Corresponding angles (or alternate interior angles) formed by parallel lines and a transversal are equal.

Step2: Determine the measure of $\angle 1$

Since the corresponding (or alternate interior) angle to $\angle 1$ in the upper intersection is $45^\circ$, we can conclude that $m\angle 1 = 45^\circ$.

Answer:

$45^\circ$