Answer:
m∠1 = 150° by the Corresponding Angles Theorem
m∠2 = 150° by the Alternate Exterior Angles THeorem
Step-by-step explanation:
Pictographically, we can figure out that both m∠1 and m∠2 are equal to 150°, as they are both obtuse angles (greater than 90°), and the only other relevant answer choice (30°) is an acute angle (less than 90°).
Next, we can determine the relation of each angle to the given 150°:
Angle 1 is on the same side of the transversal (the line that intersects the parallel lines) and above one of the parallel lines. Therefore, it corresponds to the given 150°, and we can show them to be congruent using the Corresponding Angles Theorem.
Angle 2 is on the alternate side of the transversal, and it is below one of the parallel lines (whereas the given 150° is above). Therefore, it is the alternate exterior angle relative to the given 150°, and we can show them to be congruent using the Alternate Exterior Angles Theorem.