Answer/Step-by-step explanation:
a. m<1 and m<6 are vertical angles, hence they are congruent.
Therefore, m<1 = m<6 = 142°
b. <2 and <6 form a linear pair.
Therefore, m<2 + m<6 = 180°
m<2 = 180° - 142° = 38°
c. <2 and <3 are interior angles of the same side of the transversal line, thus, they are supplementary.
Therefore:
m<2 + m<3 = 180°
m<3 = 180° - 38° = 142°
d. m<4 = m<2 = 38° (corresponding angles lying on the same side of the transversal line are equal)
e. m<5 = m<2 = 38° (vertical angles are equal)
f. m<7 = m<4 = 38° (vertical angles are equal)
g. m<8 = m<3 = 142° (vertical angles are equal)