The angles whose sum equals to $180^\circ$ are called the supplementary angles.
Supplementary angles are basically two angles but the sum of them represents a straight angle when the angles are added to each other.
One angle is known as supplement of another angle and vice-versa.
$\alpha$ and $\beta$ are two angles and the sum of them forms a straight angle geometrically.
$\alpha+\beta = 180^\circ$
The two angles $\alpha$ and $\beta$ are known as supplementary angles.
$\Delta PQR$ is a triangle and the side $\overline{RS}$ splits this triangle as two triangles $\Delta PSR$ and $\Delta QSR$.
Measures $\angle PSR$ and $\angle QSR$ by using protractor.
It is measured that the $\angle PSR$ is equal to $48^\circ$ and the $\angle QSR$ is equal to $132^\circ$. Now, add both angles to get sum of them.
$\angle PSR + \angle QSR$ $=$ $48^° + 132^°$
$\implies$ $\angle PSR + \angle QSR$ $=$ $180^°$
The sum of the two angles is straight angle ${(\pi)}$. Therefore, the angles ($\angle PSR$ and $\angle QSR$) are called as supplementary angles.
The $\angle PSR$ is called as supplement of the $\angle QSR$. Similarly, $\angle QSR$ is called as supplement of the $\angle PSR$.
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