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
![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 class=](https://us-static.z-dn.net/files/d72/9ba77855773a42f9f6b92f97551f3481.jpg)
Answer:
m<1 = 57°
m<2 = 74°
Step-by-step 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°