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QUESTION IMAGE

current skill find the measure of angle 8.

Question

current skill find the measure of angle 8.

Explanation:

Step1: Identify angle - relationship

Angle 6 and the given 68 - degree angle are vertical angles, so $\angle6 = 68^{\circ}$.

Step2: Use linear - pair property

Angle 6 and angle 8 are a linear pair. Since the sum of angles in a linear pair is 180 degrees, if $\angle6=68^{\circ}$, then $\angle8 = 180^{\circ}-\angle6$.

Step3: Calculate angle 8

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

Answer:

$112^{\circ}$