Question

AC, DF and YZ are straight lines and all angles are in degrees.

By first considering the angles
on line ABC, show that AC is
parallel to DF.

Answer 1

ac is parallel to df because it doesn't intersect with each other

Answer 2

Angles on a straight line sum to 180
x + 25 + 2x + 50 = 180
3x + 75 = 180
3x = 105
X = 35
IF line AC and DF were parallel, this means that 2x + 50 = 5x - 55 because corresponding angles are equal
2(35) + 50 = 120
5(35) - 55 = 120
Thus, AC is parallel to DF