Answer
Two angles are said to be supplementary angles when the sum of their measures equals 180°. Thus, a supplement of an angle can be found by deducting its measure from 180°
Work Step by Step
Two angles are said to be supplementary angles when the sum of their measures equals 180°. We can find an angle’s supplement by subtracting the measure of the given angle from 180°.
Example:
We have to find the supplement of an angle of 110°. So, we have to subtract it from 180°.
Now, let the supplement angle be x. And the 110° angle be \[\measuredangle 1\]
Then, Compute the value of x as follows;
\[\begin{align}
& \measuredangle 1+\measuredangle \text{x}=180{}^\circ \left( \text{Supplementary}\,\text{Angles} \right) \\
& 110{}^\circ +\measuredangle \text{x}=180{}^\circ \\
& \measuredangle \text{x}=180{}^\circ -110{}^\circ \\
& =70{}^\circ
\end{align}\]
Thus, angle x is the supplement of angle 1. Hence, the supplement of an angle can be computed by subtracting its measure from 180°.
