SOLUTION: It is NOT possible to have a triangle with which of the following? -only one obtuse angle -two equal acute angles -only one acute angle -three equal acute angles

Question 467573: It is NOT possible to have a triangle with which of the following?
-only one obtuse angle
-two equal acute angles
-only one acute angle
-three equal acute angles
Answer by gwendolyn(128) (Show Source): You can put this solution on YOUR website!
It is not possible to have a triangle with only one acute angle.
It is possible to have a triangle with only one obtuse angle, or a triangle with two equal acute angles (A 30, 30, 120 triangle illustrates both of these)
It is possible to have a triangle with three equal acute angles (a 60, 60, 60 triangle)
However, a triangle cannot only have one acute angle. No matter how small the acute angle is, there will be less than 180 degrees to divide among the other two angles. Therefore, the other angles could not both be greater than or equal to 90 degrees.
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