Question

find the measure of angle 7.

Explanation:

Step1: Identify vertical - angle relationship

Angle 1 and the given 97 - degree angle are vertical angles. So, $\angle1 = 97^{\circ}$.

Step2: Identify corresponding - angle relationship

Since the two horizontal lines are parallel, angle 1 and angle 7 are corresponding angles. Corresponding angles formed by a transversal intersecting two parallel lines are equal. So, $\angle7=\angle1$.

Answer:

$97^{\circ}$