Question

I need help with 1,2, and 3

Answer 1

1.
Lines a and b are parallel lines.
Line t is a transversal.
Corresponding angles are congruent.
Angle 1 is a corresponding angle to the 107-deg angle, so m<1 = 107.
Angles 1 and 2 are supplementary angles since they are a linear pair.
m<1 + m<2 = 180
m<2 = 180 - 107
m<2 = 73

2.
Lines a and b are parallel lines.
Line t is a transversal.
Corresponding angles are congruent.
Angle 3 is a corresponding angle to the 95-deg angle, so m<3 = 95.
Angles 3 and 4 are supplementary angles since they are a linear pair.
m<3 + m<4 = 180
95 + m<4 = 180
m<4 = 180 - 95
m<4 = 85

3.
Lines a and b are parallel lines.
Line t is a transversal.
Corresponding angles are congruent.
Angle 5 is a corresponding angle to the 49-deg angle, so m<5 = 49.
Angles 5 and 6 are supplementary angles since they are a linear pair.
m<5 + m<6 = 180
49 + m<6 = 180
m<6 = 180 - 49
m<6 = 131