The missing angle are as follows
Measure angle 1 = 55 degrees
Measure angle 2 = 125 degrees
Measure angle 3 = 55 degrees
Measure angle 4 = 125 degrees
Measure angle 5 = 40 degrees
How to find the measure of the angles
Measure angle 1 = 90 - 35 (complementary angle)
Measure angle 1 = 55 degrees
Measure angle 2 = 180 - angle 1 (supplementary angle)
Measure angle 2 = 180 - 55
Measure angle 2 = 125 degrees
Measure angle 3 = angle 1 (vertical angle theorem)
Measure angle 3 = 55 degrees
Measure angle 4 = angle 2 (vertical angle theorem)
Measure angle 4 = 125 degrees
Measure angle 5 = 180 - 85 - angle 3 (sum of angles in a triangle)
Measure angle 5 = 180 - 85 - 55
Measure angle 5 = 40 degrees