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: Use corresponding - angle property

Corresponding angles are congruent when lines are parallel. So, $m\angle1 = 74^{\circ}$.

Step3: Identify $\angle1$ and $\angle2$ relationship

$\angle1$ and $\angle2$ are vertical angles.

Step4: Use vertical - angle property

Vertical angles are congruent. So, $m\angle2=m\angle1 = 74^{\circ}$.

Answer:

Measure of $\angle1$: $74^{\circ}$
Measure of $\angle2$: $74^{\circ}$