Question 678511: the measures of the smallest and largest angle of a right triangle could differ by
A) 1
B) 30
C) 62
D) 91
and WHY?
task is from "MATH CONTEST Grade 7-8 year 2010-2011 number 8.
Found 2 solutions by stanbon, ReadingBoosters:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! the measures of the smallest and largest angle of a right triangle could differ by
A) 1
B) 30
C) 62
D) 91
and WHY?
Largest angle is 90 degrees
The sum of the other 2 angles must be 90 degrees.
One of those angles could be 1 degree and the other 89 degrees
----
Largest - smallest would be 90-1 = 89 degrees.
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Cheers,
Stan H.
Answer by ReadingBoosters(3246) (Show Source):
You can put this solution on YOUR website! 
Set it up in this way, knowing the largest angle in a right triangle is the
90 degree right angle.
...
Largest angle | difference | smallest angle
90 | 1 | 89 --> False, 89 would not be the smallest angle, 1 would.
90 | 30 | 60 --> False, 60 would not be the smallest angle, 30 would.
90 | 62 | 28 --> True, 28 would be the smallest angle, followed by 62, then 90
90 | 91 | -1 --> False, there are no negative degrees in any triangle.
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