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.

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 class=

Respuesta :

Answer:

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

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