Question

Lines e and f are parallel. The m∠9 = 80° and m∠5 = 55°. Which angle measures are correct? Select three options.

A. m∠2 = 125
B. m∠3 = 55
C. m∠8 = 55
D. m∠12 = 100
E. m∠14 = 100

Answer 1

To find the correct angle measures, we use the properties of parallel lines and the given angle measures.

Step-by-step explanation:

To determine which angle measures are correct, we need to use the properties of parallel lines and the given angle measures. Since lines e and f are parallel, we know that corresponding angles are congruent.

From the given information, we can determine that m∠2 is congruent to m∠5 because they are corresponding angles. Therefore, option A (m∠2 = 125°) is correct. Similarly, m∠3 is congruent to m∠9 because they are corresponding angles. Therefore, option B (m∠3 = 55°) is correct. Finally, m∠8 is congruent to m∠9 because they are alternate interior angles. Therefore, option C (m∠8 = 55°) is correct.