Question

Two parallel lines are crossed by a transversal.

Horizontal and parallel lines y and z are cut by transversal x. At the intersection of lines y and x, the top right angle is (2 k + 11) degrees. At the intersection of lines z and x, the bottom left angle is 131 degrees.
What is the value of k?

k = 9
k = 20
k = 60
k = 71

Answer 1

Top right at the upper intersection and bottom left at the lower intersection are corresponding angles, so they are equal.

Set 2k + 11 = 131
2k = 120
k = 60

Answer: k = 60.