Question

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

Answer 1

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)