# The measure of an angle is 82°. What is the measure of its supplement?

May 28, 2017

The measure of the supplement of ${82}^{\circ}$ is ${98}^{\circ}$

#### Explanation:

As shown below, the supplement of an angle, ${\theta}^{\circ}$ is $180 - {\theta}^{\circ}$

In this explanation, we will call the Supplement of theta, $\alpha$

In this explanation, we will call the Supplement of theta $\alpha$

So in this, we can switch $\theta$ for ${82}^{\circ}$

$\theta + \alpha = 180$

$82 + \alpha = 180$

$180 - 82 = \alpha$

color(blue)(alpha = 98^@

$\therefore$ The measure of the supplement of ${82}^{\circ}$ is ${98}^{\circ}$