Question

1 If a transversal intersects two parallel lines
and the difference between two interior
angles on the same side of a transversal
is 30°, find the measure of the angles.​

Answer 1

Answer:

let the angles be x° and y° respectively

x+y=180

x-y=30

2x=210

x=105°

and

y=180-105

=75°

Answer 2

Answer:

x+y=l80

x-y= 30

2x=210

x = 105

x-y=30

y=75

x=lo5 and y=75 degree