Question

If l║m, find the value of x and the value of y.

A.x=75, y=60

B.x=82, y=53

C.x=90, y=45

D.x=95, y=40

Answer 1

x = 75

y = 60

Explanation:

in line m you have that: x + y + 45 = 180 because it is a straight angle.

Also the blank angle adjacent to 45 is measures y because it is a vertical angle, and using the parallel lines the adjacent angle to 2x - 30 that is in the straight angle of line "l" is also y, then you have:

2x - 30 = 180

2x = 150

x = 75

Replacing x in the first equation:

75 + y + 45 = 180

y + 120 = 180

y = 60