Question

what is the measure of ∠7? a 33° b 137° c 43° d 47°

Explanation:

Step1: Identify vertical - angle relationship

$\angle 2$ and the given $137^{\circ}$ angle are vertical angles, so $\angle 2 = 137^{\circ}$.

Step2: Identify corresponding - angle relationship

$\angle 7$ and $\angle 2$ are corresponding angles. When two parallel lines are cut by a transversal, corresponding angles are equal.

Answer:

B. $137^{\circ}$