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