Question

Find the measure of an angle if its measure is 30°
more than 2 times its complement. (1 point)

Answer 1

Let the measure of the angle be x.
The complement of the angle is 90 - x.
According to the problem, x = 2(90 - x) + 30.
Simplifying the equation, we get x = 180 - 2x + 30.
Combining like terms, we get 3x = 210.
Dividing both sides by 3, we get x = <<70=70>>70.
Therefore, the measure of the angle is 70 degrees. Answer: \boxed{70}.