Suppose l||m and ∠1 = 33°. What is the measure of ∠2?
A) 28°
B) 18°
C) 66°
D) 33°
E) 23°

Name: Suppose l||m and ∠1 = 33°. What is the measure of ∠2? A) 28° B) 18° C) 66° D) 33° E) 23°
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Question

Suppose l||m and ∠1 = 33°. What is the measure of ∠2? 
A) 28° 
B) 18° 
C) 66° 
D) 33° 
E) 23°

Quizplus · Accepted Answer

Since l||m, we know that ∠1 and ∠2 are alternate interior angles. By the alternate interior angles theorem, alternate interior angles are congruent in this situation. Therefore, ∠2 = ∠1 = 33°.

Suppose L||m and ∠1 = 33°