Use the given information to find the measures of all angles formed by parallel lines a and b, and transversal m.
The sum of two angles is 68°
Let's denote the angles formed by the intersection of a and m as angles 1, 2, 3, and 4, and the angles formed by the intersection of b and m as angles 5, 6, 7, and 8.
Since a and b are parallel lines, angles 1 and 5 are corresponding angles, angles 2 and 6 are corresponding angles, angles 3 and 7 are corresponding angles, and angles 4 and 8 are corresponding angles.
If the sum of two angles is 68°, then each pair of corresponding angles (angles 1/5, 2/6, 3/7, 4/8) must also have a sum of 68°.
So we can say:
angle 1 + angle 5 = 68°
angle 2 + angle 6 = 68°
angle 3 + angle 7 = 68°
angle 4 + angle 8 = 68°
Therefore, all four angles formed by the intersection of lines a and m are 34° each, and all four angles formed by the intersection of lines b and m are also 34° each.