Find the measure of an angle if its measure is 30°
more than 2 times its complement. (1 point)
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}.
Let's call the measure of the angle "x".
The complement of an angle is the angle that, when added to the given angle, results in a right angle, which measures 90 degrees.
So, the complement of "x" would be (90 - x) degrees.
According to the problem, the measure of the angle is 30 degrees more than 2 times its complement.
This can be written as the equation:
x = 2(90 - x) + 30
Now, we can solve for "x":
x = 2(90 - x) + 30
x = 180 - 2x + 30
3x = 210
x = 210/3
x = 70
Therefore, the measure of the angle is 70 degrees.