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Question

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°and90°.

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°and180°.

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


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