Question

Can we have two acute angles whose sum is an acute angle? Why or why not?

Answer 1

Since, we know that acute angles are angles whose values lies between $0°and90°.$

Let's take two acute angles as $\text{x and y.}$

The minimum value of the sum of acute angles will be just greater than $0°.$

The maximum value of the sum of acute angles will be just less than $180°.$

Therefore, the sum of two acute angles lies between $0°and180°$.

Hence, the sum of two acute angles can be acute angle.