Question

What are the measures of < 1 and < 2. Show your work or explain your answer.

Plss show how you got your answer.

Plsss 15 points

Answer 1

m<1 = 105°

m<2 = 75°

Explanation:

Since lines c and d are parallel to each other, therefore:

m<2 = 75° (corresponding angles are congruent)

m<1 + m<2 = 180° (linear angle pair)

Substitute

m<1 + 75° = 180°

Subtract 75 from both sides

m<1 = 180° - 75°

m<1 = 105°