Question

Parallel lines e and f are cut by transversal b.

Horizontal and parallel lines e and f are cut by transversal b. At the intersection of lines b and e, the uppercase right angle is (2 x + 18) degrees. At the intersection of lines b and f, the top right angle is (4 x minus 14) degrees and the bottom right angle is y degrees.

What is the value of y?

16
50
130
164

Answer 1

Corresponding angles are equal, so
2x + 18 = 4x − 14 → 32 = 2x → x = 16.

Then the top-right angle at f is 4x − 14 = 64 − 14 = 50°. The top-right and bottom-right at the same intersection are a linear pair, so they sum to 180°:
y = 180 − 50 = 130°.

Answer: 130.