The measure of angle c is 59 degrees
To determine the measure of the angle, we have to note that;
- Supplementary angles are pairs that sum up to 180 degrees
- Angles on a straight line is 180 degrees
- Angle at right angle is 90 degrees
- Alternating angles are equal
Then, from the information given, we have that;
Angle a = 55 degrees
Since angles on a straight line is 180 degrees, we can say that;
57 + d + 64 = 180
d = 180 - 121
subtract
d = 59 degrees
But c and d are alternating angles, then, c = 59 degrees