An angle is exactly half its complement. what is the angle

let x = angle

x = 1/2 (90-x)

2x = 90-x

3x=90

x = 90/3 = 30

x = 30 degrees

Complementary angles equal 90 together. Split that by 3. You have 30, 30, ans 30. Put two of those together. Now you have a 60 degree angle and a 30 degree angle. The 30 degree angle is exactly half of it's complementary angle, which is 60 degrees.

So, the answer: 30 degrees.

God bless!