Question

For which values of x and y is line p parallel to line q?

x=5, y=3
x=1, y=5
x=3, y=5
x=3, y=6

Answer 1

x=3, y=5

Explanation:

(16x+2) and (45x-5) are co-interior angles and they sum up to 180 degrees.

To find x

(16x+2)+(45x-5)=180

16x+45x-5+2=180

61x-3=180

61x=180+3

61x=183

x=3

(45x-5) and (26y) are corresponding angles so their values are equal

(45x-5)=(26y), x=3

(45 (3)-5)=(26y)

135-5=26y

130=26y

5=y