Question

find the measure of angle 8.

Explanation:

Step1: Identify angle - pair relationship

Assume the two lines are parallel. Angle 7 and the given 68 - degree angle are vertical angles, so $\angle7 = 68^{\circ}$.

Step2: Use linear - pair property

Angle 7 and angle 8 form a linear pair. Since the sum of angles in a linear pair is 180 degrees, if $\angle7=68^{\circ}$, then $\angle8 = 180^{\circ}-\angle7$.

Step3: Calculate the measure of angle 8

$\angle8=180 - 68=112^{\circ}$

Answer:

$112^{\circ}$