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

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.

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let x = angle

x = 1/2 (90-x)

2x = 90-x

3x=90

x = 90/3 = 30

x = 30 degrees