Answer:
50°
Explanation:
Complementary angles are a pair of angles that sum to 90°.
Therefore, the complement of an angle is 90° minus the angle itself.
Let x be the measure of the angle in degrees.
So, the complement of x is (90° - x).
According to the problem statement, the angle is 30° more than one-half of its complement. Mathematically, this can be expressed as:

To solve for x, begin by multiplying both sides of the equation by 2 to eliminate the fraction:

Combine like terms:

Add x to both sides of the equation:

Now, divide by 3 to find the value of x:

So, the measure of the angle is 50°.