The values of a, b and c are a = 110°, b = 250° and c = 110°.
In the figure consisting of two parallel lines, we can have a straight line drawn to cut the angle b and the right triangle at the tip, this line that will be parallel to the existing two parallel lines can help to evaluate for the angles a, b, and c as follows:
The adjacent angles are equal to 180° so;
b = (180° - 35°) + (180° - 75°)
b = 145° + 105°
b = 250°
a = 360 - 250° {sum of angles at a point}
a = 110°
Part of the right angle to the side of the angle 160° is
180° - 160° = 20 {adjacent angles}
90 - 20 = 70° {the other part of right angle to the angle c}
c = 180° - 70°
c = 110°
Therefore, the measures of the the unknown angles are a = 110° , b = 250° and c = 110°.