Answer
Two angles are said to be complementary angles when the sum of their measures is exactly equal to 90° and therefore, the complement of an angle can be found by subtracting its measure from 90°.
Work Step by Step
Two angles are said to be complementary angles when the sum of their measures is exactly equal to 90°. One can find an angle’s complement by subtracting the measure of the given angle from 90°.
Example:
If it is required to find the complement of an angle of 30°. So, we have to subtract it from 90°.
Now, let the measurement of complement angle be x and the 30° angle be\[\measuredangle 1\].
Then, Compute the value of x from the below equation as follows:
\[\begin{align}
& \measuredangle 1+\measuredangle \text{x}=90{}^\circ \left( \text{Complementary}\,\text{Angles} \right) \\
& 30{}^\circ +\measuredangle \text{x}=90{}^\circ \\
& \measuredangle \text{x}=90{}^\circ -30{}^\circ \\
& =60{}^\circ
\end{align}\]
Thus, \[\measuredangle x\]is the complement of angle 1.
Hence, the complement of an angle can be computed by subtracting its measure from 90°
