SOLUTION: 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 numb

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.
-----
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.
.....................
Delighted to help; feel free to email if you have further questions.
HomeworkHelpers@readingboosters.com
-Reading Boosters
Website: www.MyHomeworkAnswers.com
Wanting for others what we want for ourselves.
RELATED QUESTIONS
Jane has cut out a triangle using cardboard. The base of the triangle is from F to H... (answered by Alan3354)
the measure of the largest angle of a triangle is 45 degrees moe than the measure of the... (answered by checkley77)
The sum of the measures of a triangle is 180°. The largest angle is twice the smallest... (answered by greenestamps)
The ratio of the angle measures of the two non-right angles in a right triangle is 2 :3. (answered by jim_thompson5910)
i need help with this problem- question is: the smallest angle in a triangle is half the... (answered by edjones)
In a right triangle, the measures of the two smaller angles are (3x+6) and (2x-1) . What... (answered by solver91311)
One angle in a triangle measures twice the smallest angle, whereas the largest angle is... (answered by checkley71)
One angle in a triangle measures five times the smallest angle, whereas the largest angle (answered by Tatiana_Stebko)
what type of triangle is determined by the points A( 6,-2), B( 4,3),and c(-1, 5). A an... (answered by richwmiller)