Question

Find the supplement of the following angle- ${70}^{\circ }$.

Answer 1

Hint: The sum of the supplementary angle is ${180}^{\circ }$. In this question to find the supplement of the given angle, we just need to subtract it from ${180}^{\circ }$ because we know that the sum of supplementary angles is ${180}^{\circ }$.

Complete step-by-step answer:
We know that the sum of supplementary angles is ${180}^{\circ }$.
Let the $\mathrm{\angle }1$ be x and $\mathrm{\angle }2$ be ${70}^{\circ }$
$\mathrm{\angle }1+\mathrm{\angle }2={180}^{\circ }$
$$\begin{array}{c}\Rightarrow x+{70}^{\circ }={180}^{\circ }\\ \Rightarrow x={180}^{\circ }-{70}^{\circ }={110}^{\circ }\end{array}$$
Hence, the supplement of angle ${70}^{\circ }$ is $${110}^{\circ }$$.

Note: Two angles are called supplementary angles if their sum is 180 degrees. Two angles are supplementary: 1) When One of its angles is obtuse angle (angle more than 90 degree) and another angle is acute angle (less than 90 degree) 2) When both the angles are right angles.
Some important properties of supplementary angle are as follows:
“S” is a supplementary angle denoting the straight line which forms 180 degrees.
Two angles are called supplementary angles when their sum of angles is equal to 180 degrees.
Two angles together make a straight line.
Few more important things about supplementary angle:
Two acute angles can never form a supplementary angle. Acute angles measure angles greater than 0 degree and less than 90 degrees. If you add any two acute angles, its sum will be always less than 180 degrees.
Two obtuse angles can never form a supplementary angle. Obtuse angles measure angles greater than 90 degree. If you add two obtuse angles, their sum will be always greater than 180 degrees.
Two right angles always form a supplementary angle.