Question

in the figure, m∠7 = 100°. find the measure of ∠2.

Explanation:

Step1: Identify angle - pair relationship

$\angle7$ and $\angle2$ are corresponding angles. When two parallel lines are cut by a transversal, corresponding angles are congruent.

Step2: Determine measure of $\angle2$

Since $m\angle7 = 100^{\circ}$ and $\angle7\cong\angle2$, then $m\angle2=100^{\circ}$.

Answer:

$100^{\circ}$