SOLUTION: The ratio of the angle measures of the two non-right angles in a right triangle is 2 :3. Find the measure of the smallest angle.
a)54
b)90
c)36
d)18
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Question 835996: The ratio of the angle measures of the two non-right angles in a right triangle is 2 :3. Find the measure of the smallest angle.
a)54
b)90
c)36
d)18
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The two angles are in ratio of 2:3, so that means the two angles are 2x and 3x (where x is some unknown number for now). They must add to 90 (since they are the non-right angles in a right triangle...ie they are complementary)
2x + 3x = 90
5x = 90
x = 90/5
x = 18
-----------------
2x = 2*18 = 36
3x = 3*18 = 54
The smallest angle is 36 degrees
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