The complement of an angle is one-sixth the measure of the supplement of the angle. what is the measure of the complement angle?

The measure of the complement angle is

Step-by-step explanation:

Let

x-----> the angle

we know that

The complement of an angle is equal to

The supplement of an angle is equal to

we have

The complement of an angle is one-sixth the measure of the supplement of the angle

solve for x

Find the measure of the complement angle

------>

18⁰

Step-by-step explanation:

Angle = x

Complement = 90 - x

Supplement = 180 - x

Given:

90 - x = 1/6 × (180 - x)

540 - 6x = 180 - x

5x = 360

x = 72

Complement = 90 - 72 = 18⁰

so, converting firstly the mixed fractions to improper fractions and then "adding".