Question

ch 3.2 - test review
find the measure of ∠1
find the measure of ∠2

Explanation:

Step1: Identify angle - type relationship

The $74^{\circ}$ angle and $\angle1$ are corresponding angles.

Step2: Apply corresponding - angles property

Corresponding angles formed by parallel lines and a transversal are equal. So, $m\angle1 = 74^{\circ}$.

Step3: Identify $\angle2$ relationship

The $74^{\circ}$ angle and $\angle2$ are alternate - interior angles.

Step4: Apply alternate - interior angles property

Alternate - interior angles formed by parallel lines and a transversal are equal. So, $m\angle2 = 74^{\circ}$.

Answer:

Measure of $\angle1 = 74^{\circ}$, Measure of $\angle2=74^{\circ}$