Question
6. How many acute angles are in an acute triangle?
Ask by Tyler Joseph. in the United States
Feb 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
There are 3 acute angles in an acute triangle.
Solution
In an acute triangle, all three angles are acute angles. An acute angle is defined as an angle that is less than 90 degrees.
Since the sum of the angles in any triangle is always 180 degrees, and in an acute triangle, each angle must be less than 90 degrees, it follows that all three angles must be acute.
Therefore, the answer is that there are **3 acute angles** in an acute triangle.
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Simplify this solution Bonus Knowledge
An acute triangle is a delightful little shape where all three of its angles are less than 90 degrees. You can think of it as the ultimate triangle party, where all the angles are contributing to the fun and staying in the “acute” club together. So, in total, an acute triangle has three acute angles! Now, here’s a neat trick to remember: the sum of all angles in any triangle is always 180 degrees. Since each angle in an acute triangle must be less than 90 degrees, they are all cheerfully smaller than the right angle, ensuring they all keep their acute status!
