If an angle is 30° more than one half of its complement, find the measure of the angle.

Let the angle be "x"

The, its complement will be (90^o – x)

Note: Complementary angles: When the sum of 2 angles is 90°.

It is given that angle = 30^o + Complement

x = 30^o + (90^o – x)

x = 30^o + 45^o - x/2

x + x/2 = 30^o + 45^o

= 75^o

3x = 150^o

x= 50⁰

Thus, the angle is 50⁰