One-third of the complement of an angle is five less than two times the angle. find the angle .

For this case we have that by definition:

Complementary angles are those that add up to 90 degrees.

We have the following variables:

x: Angle

y: Complement of the angle

According to the statement we have:

According to the given definition we have:

So, we have two equations with two unknowns:

-----> (1)

-----> (2)

From (1) we clear y:

We substitute and in (2):

Thus, the angle is degrees.