In
the figure AB // CD and m2=60
what is m8

The measure of ∠8 is 120°

Solution:

Given line AB parallel to line CD.

m∠2 = 60°

∠2 and ∠6 are corresponding lines.

If two lines are parallel, then their corresponding lines are congruent.

m∠2 = m∠6

m∠6 = 60°

Sum of the adjacent angles in a straight line is 180°.

m∠6 + m∠8 = 180°

60° + m∠8 = 180°

Subtract 60° from both sides.

60° + m∠8 - 60° = 180° - 60°

m∠8 = 120°

The measure of ∠8 is 120°.

6/20

step-by-step explanation: