Question

In the diagram line p is parallel to side BC. What is the sum of the measure of angle 1 and angle 2? What is the sum of the measure of angle 1 and angle 2? M angle 1 + m angle 2 = ____degree

Answer 1

Explanation:

Answer 2

m<1 = 57°

m<2 = 74°

Explanation:

m<1 = 57° (alternate interior angles are congruent)

m<B + m<C + m<2 = 180° (sum of interior angles of a triangle)

57° + 49° + m<2 = 180° (substitution)

106° + m<2 = 180°

Subtract 106° from both sides

m<2 = 180° - 106°

m<2 = 74°