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

1.	If an angle is 30° more than one half of its complement, find the measure of the angle.
Answer» Let the angle be "x" The, its complement will be (90° – x) Note: Complementary angles: When the sum of 2 angles is 90°. It is given that angle = 30° + \(\frac{1}{2}\) Complement x = 30° + \(\frac{1}{2}\)(90° – x) x = 30° + 45° - \(\frac{x}{2}\) x + \(\frac{x}{2}\) = 30° + 45° \(\frac{3x}{2}\) = 75° 3x = 150° x = 50° Thus, the angle is 50°

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

Answer»

Let the angle be "x"

The, its complement will be (90° – x)

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

It is given that angle = 30° + \(\frac{1}{2}\) Complement

x = 30° + \(\frac{1}{2}\)(90° – x)

x = 30° + 45° - \(\frac{x}{2}\)

x + \(\frac{x}{2}\) = 30° + 45°

\(\frac{3x}{2}\) = 75°

3x = 150°

x = 50°

Thus, the angle is 50°