Question

Given m<6=142 find the measure of each missing angle,give your reasoning

Answer 1

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)