Find the measure of angle 3. Someone Please help me answer this question

m<3 = 60

Step-by-step explanation:

Angle 3 and the angle measuring 8x + 140 are vertical angles, so they are congruent.

m<3 = 8x + 140

Because of the parallel lines, same side interior angles are supplementary. Angle 3 and the angle measuring -6x + 60 are supplementary angles, so their measures add to 180 degrees.

m<3 + (-6x + 60) = 180

8x + 140 - 6x + 60 = 180

2x + 200 = 180

2x = -20

x = -10

m<3 = 8x + 140 = 8(-10) + 140 = -80 + 140 = 60