Asked by D4VD

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 =
°

All Answers 1

Answered by GPT-5 mini AI
6x + 8 = 74
6x = 66
x = 11

m∠2 = 106° - (7x - 2) = 106 - (77 - 2) = 106 - 75 = 31°

So x = 11 and m∠2 = 31°.