What is the measure of an angle if it is 70 less than three times its own complement?

Let the angle be x.

Hence, its complement is 90 - x.

x = 3 * (90 - x) - 70 = 270 - 3x - 70 = 200 - 3x

4x = 200

x = 50

Thus, the angle is 50°.

The complement of an angle is what you add to it to get 90 degrees

if the angle is x, then the complement is y such that x+y=90

an angle is 70 less than 3 times it's complement

x=-70+3y

hmm

x+y=90

minus x both sides

y=90-x

subsitute 90-x for y

x=-70+3y

x=-70+3 (90-x)

x=-70+270-3x

x=200-3x

add 4x to both sides

4x=200

divide both sides by 4

x=50

the angle is 50°