Given m 6 = 142°, find the measure of each missing angle. Give your reasoning.

Answer/Step-by-step explanation:

The diagram given shows a transversal line crossing two parallel lines, thereby forming different angles.

Given that m∠ 6 = 142°, the following are the measures of the missing angles that are labelled with numbers, with the reasons given in parentheses:

a. m∠1 = m∠6 (both are vertical angles and are therefore congruent).

Therefore, m∠1 = 142°

b. m∠2 = 180° - 142° (∠2 and ∠6 are supplementary angles)

m∠2 = 38°

c. m∠3 = m∠1 (they are corresponding angles, and are therefore congruent).

Therefore, m∠3 = 142°

d. m∠4 = m∠2 (they are corresponding angles, and are therefore congruent).

Therefore, m∠4 = 38°

e. m∠5 = m∠2 (both are vertical angles and are therefore congruent).

Therefore, m∠5 = 38°

f. m∠7 = m∠4 (both are vertical angles and are therefore congruent).

Therefore, m∠7 = 38°

g. m∠8 = m∠6 (they are corresponding angles, and are therefore congruent).

Therefore, m∠8 = 142°

dont think so

step-by-step explanation:

answer: 5100 just subtract

step-by-step explanation: