Find the values of x and y for which the lines are parallel.

a) x = 47, y = 79

b) x = 58, y = 57

c) x = 79, y = 49

d) x = 79, y = 47

This problem is accompanied by a figure.

You can infere these relationships from the figure

(x-5) ° = 74° = > x = 74 + 5 = 79°

(x-5) ° + 58° + (y-1) ° = 180 ° = > 74 + 58 + y-1 = 180 = >

y = 180 + 1 - 58 - 74 = 47°

Answer: x = 79°, y = 47°. This is the option d)