Question

weekly exit ticket september 15th to september 19th
day 1 - monday, september 15th
show your work
if ∠1 = 70°, what is the measure of its corresponding angle?
if ∠2 = 110°, what is the measure of its alternate interior angle?

Explanation:

Step1: Recall corresponding - angle property

Corresponding angles are equal when two parallel lines are cut by a transversal.
If $\angle1 = 70^{\circ}$, its corresponding angle has the same measure. So the measure of the corresponding angle of $\angle1$ is $70^{\circ}$.

Step2: Recall alternate - interior angle property

Alternate - interior angles are equal when two parallel lines are cut by a transversal.
If $\angle2=110^{\circ}$, its alternate - interior angle has the same measure. So the measure of the alternate - interior angle of $\angle2$ is $110^{\circ}$.

Answer:

The measure of the corresponding angle of $\angle1$ is $70^{\circ}$.
The measure of the alternate - interior angle of $\angle2$ is $110^{\circ}$.