In a parallelogram, opposite angles are equal and consecutive angles are supplementary (i.e., they add up to 180 degrees).
Since you have the measure of angle A as 155 degrees, angle C (the opposite angle) will also be 155 degrees.
To find the measure of angle B (the consecutive angle to angle A), you can use the supplementary property:
Angle A + Angle B = 180 degrees 155 degrees + Angle B = 180 degrees Angle B = 180 degrees - 155 degrees Angle B = 25 degrees
Since angle C is opposite to angle A, angle C will also measure 155 degrees.
Therefore, the measure of angle C is 155 degrees.