If the compliment of an angle is equal to the supplement of Thrice of itself, find the measure of the angle?

Let the angle measured be 'x' say.

Its complementary angle is (90 - x) and

Its supplementary angle is (180 - 3x)

Given that, Supplementary of 4 times the angle = (180 - 3x)

According to the given information;

(90 - x) = (180 - 3x)

3x - x = 180 - 90

2x = 90

x = 90/2

x = 45

Therefore, the measured angle x = (45)°