Question

Urgent! Line l is parallel to line m. If the measure of <6 is 75o, what is the measure of <1?

Answer 1

m<1 = 105°

Explanation:

<6 and <2 are corresponding angles. Therefore:

m<2 = m<6

Since m<6 = 75°, therefore, m<2 = 75°.

m<1 + m<2 = 180° (linear pair angles)

m<1 = 180° - m<2 (substitution property of equality)

m<1 = 180° - 75° (substitution)

m<1 = 105°