Questions: Find the measure of ∠8.

Transcript text: Find the measure of $\measuredangle 8$.

Solution

Solution Steps

Step 1: Find the supplementary angle to the 99° angle.

Angles on a straight line add up to 180°. The angle adjacent to the 99° angle is supplementary to it. Let's call this angle 'x'. Therefore, x + 99° = 180°, so x = 180° - 99° = 81°.

Step 2: Find the measure of angle 8.

Since the two horizontal lines are parallel, the angle x (81°) and angle 8 are corresponding angles. Corresponding angles are congruent. Thus, the measure of angle 8 is 81°.

Final Answer

81°

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