Question

Parallel lines s and t are cut by a transversal, r, as shown.

Parallel lines s and t are cut by transversal r. Clockwise from top left, the angles formed by lines r and s are blank, (7 x minus 2) degrees, 1, blank; formed by lines r and t are blank, blank, blank, (6 x + 18) degrees.

What is the measure of angle 1?
20°
42°
138°
160°

Answer 1

42

Explanation:

Answer 2

9514 1404 393

Answer:

42°

Explanation:

The angles marked with x-expressions are alternate interior angles, so are congruent.

7x -2 = 6x +18

x = 20 . . . . . . . . add 2-6x

6x+18 = 6(20) +18 = 138

Angle 1 is supplementary to either of the x-expression angles, so is ...

∠1 = 180° -138°

∠1 = 42°