A complementary angle is when two angles add up to 90o.
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The complement to an angle is how much it takes to make 90 degrees. The complement to 30 degrees is 60 degrees. The complement to 45 degrees is 45 degrees.
Subtract the angle from 90 degrees and you have the complement Subtract the angle from 180 degrees and you have the supplement
The complement is 60 degrees.
A right angle is exactly 90 degrees.
The sum of an angle and its complement is 90 degrees. So the unknown angle must be 90 - 75 = 15 degrees.