# An angle is one more than twice its complement. What is the angle?

Jan 5, 2017

The angle is (60.bar3)°

#### Explanation:

Let be x° the unknown angle.

Its complement is 90°-x°

Then

$x = 1 + 2 \left(90 - x\right)$

$x = 1 + 180 - 2 x$

$x + 2 x = 181$

$3 x = 181$

$x = \frac{181}{3} = 60. \overline{3}$