SOLUTION: Complete the statement using always, sometimes, or never. A triangle ? has a right angle and an obtuse angle.

Question 447429: Complete the statement using always, sometimes, or never.
A triangle ? has a right angle and an obtuse angle.

Found 3 solutions by richard1234, Edwin McCravy, htmentor:
Answer by richard1234(7193)   (Show Source): You can put this solution on YOUR website!
Never. If this was true, then the sum of the angles in the triangle would be greater than 180 degrees.
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!

If a triangle had a right angle of 90� and also an obtuse angle which would be more than 90�, that would mean that only two of the three angles would have sum more than 180� and the third angle added to those would make it have even still more than 180�. So the question boils down to this: Can a triangle have the sum of its three interior angles to be more than 180�, or must they add up to exactly 180� no more and no less? Since the three angles of any triangle must have sum 180� and never more than 180�, the answer is "never". Edwin

Answer by htmentor(1343)   (Show Source): You can put this solution on YOUR website!
The sum of the 3 angles of a triangle = 180 deg.
Since an obtuse angle is greater than 90 deg., the sum of the remaining 2
angles must be less than 90 deg.
Since a right angle = 90 deg., a triangle NEVER has a right angle and an obtuse angle
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