Draw a triangle which contains:. a) Three acute angles.
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An acute angle by definition is one whose measure is less than 90 degrees. Let angle A, B, C be acute in triangle ABC. Since this inequality holds true, yes, a triangle can have three acute angles for any values of acute angles as long as they sum up to 180 degrees.
Not only can a triangle have three acute angles (which is very common), you can also get triangles with angles so acute that their total sum is less than 180 degrees!
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