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

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Solution

Since, we know that acute angles are angles whose values lies between $0 ° a n d 90 ° .$
Let's take two acute angles as $xandy.$
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 $0 ° a n d 180 °$ .
Hence, the sum of two acute angles can be right angle.

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