Question

Classify the following True or False:

The supplement of an acute angle is always an obtuse angle.

• A. True
• B. False

Answer 1

The correct option is A True

We know that If the sum of the two angles is $180°$, the angles are said to be supplementary angles and each angle said to be the supplement of the other.

Let $\mathrm{x}°$ be an angle.

Then, the supplement of the $\mathrm{x}°$ is $180°-\mathrm{x}°$.

Given $\mathrm{x}°$ is an acute angle.

So, let $\mathrm{x}°=60°$

Then, $180°-\mathrm{x}°=180°-60°=120°$, which is an obtuse angle.

Hence, the supplement of an acute angle is always an obtuse angle.