46. The measure of ∠8 is: B. 118°.
47. The theorem that justifies the answer is: C. alternate interior angles theorem.
What is the Alternate Interior Angles Theorem?
When two interior angles are formed on each parallel limes that are crossed by a transversal, in such a way that each of the interior angles lie alternate to each other along the transversal, both angles are said to be alternate interior angles. According to the alternate interior angles theorem, the alternate interior angles are congruent to each other.
Given the following:
Measure of angle 11 = 118°
Angle 11 and angle 8 are alternate interior angles.
Therefore, measure of angle 11 and the measure of angle 8 would be congruent based on the alternate interior angles theorem.
Thus:
46. The measure of ∠8 is: B. 118°.
47. The theorem that justifies the answer is: C. alternate interior angles theorem.
Learn more about the alternate interior angles theorem on:
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