Question

current skill! show answer (10) find the measure of angle 8

Explanation:

Step1: Identify angle - relationship

Angle 6 and angle 8 are vertical angles.

Step2: Recall vertical - angle property

Vertical angles are congruent.

Step3: Determine angle 6 measure

Angle 6 and the given 68 - degree angle are a linear pair, so $\angle6 = 180^{\circ}-68^{\circ}=112^{\circ}$.

Step4: Find angle 8 measure

Since $\angle6=\angle8$ (vertical angles), $\angle8 = 112^{\circ}$.

Answer:

$112^{\circ}$