Question

Find the measure of the complement and the supplement of 80 degrees. What is the measure of the complement of 80 degrees?

Answer 1

COMPLEMENT

Two angles are called complementary when their measures add to 90 degrees. This means that the sum of an angle and its complement is 90 degrees.

Therefore, assuming the complement of 80 degrees is x, it can be had that:

`x+80=90`

Solving for x:

`\begin{gathered} x=90-80 \\ x=10\degree \end{gathered}`

The complement of 80 degrees is 10 degrees.

SUPPLEMENT

Two angles are called supplementary when their measures add up to 180 degrees. This means that the sum of an angle and its supplement is 180 degrees.

Therefore, assuming the supplement of 80 degrees is y, it can be had that:

`80+y=180`

Solving for y:

`\begin{gathered} y=180-80 \\ y=100\degree \end{gathered}`

The supplement of 80 degrees is 100 degrees.