Consider the required angle as x°
We know that the complement can be written as 90° – x°
x° = (90° – x°) + 36°
We can also write it as
x + x = 90 + 36
So we get
2x = 126
By division we get
x = 126/2
x° = 63°
Therefore, the measure of an angle which is 36° more than its complement is 63°