Solving for Unknown Angles Lines x and y are parallel.

Parallel lines x and y are intersected by lines s and t. At the intersection of lines x, t, and s, clockwise from top left, the angles are blank, blank, (6 x + 8) degrees, blank, (7x minus 2) degrees, blank. At the intersection of lines x and y, the angles are 106 degrees, 1, blank, blank. At the intersection of lines y and t, the angles are 2, blank, blank, blank.

Use the diagram to determine the measure of the unknown angle.

m∠1 = (6x + 8)°

m∠1 = 74°

What is the value of x?

What is the measure of ∠2?
(7x - 2)° + m∠2 = 106°

m∠2 =
°