Question

Given that lines a and b are parallel and that m∠5 = 120°, find m∠1?

1) 40°
2) 60°
3) 120°
4) 135°
5) 160°

Answer 1

To find m∠1, we can use the fact that lines a and b are parallel and that m∠5 = 120°. The corresponding angles are congruent, so m∠1 must also be 120°.

Step-by-step explanation:

To find m∠1, we need to use the fact that lines a and b are parallel. When two parallel lines are intersected by a transversal, the corresponding angles are congruent. In this case, m∠5 and m∠1 are corresponding angles. Given that m∠5 = 120°, we can conclude that m∠1 must also be 120°. Therefore, the answer is option 3) 120°.