SOLUTION: The acute angle of a right triangle, are in the ratio 2:3. How many degrees is each angle?

Question 813458: The acute angle of a right triangle, are in the ratio 2:3. How many degrees is each angle?
Found 2 solutions by rfer, ewatrrr:
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
90+2x+3x=180
5x=90
x=90/5
x=18
2x=36
3x=54
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

Hi,
The acute angle of a right triangle, are in the ratio 2:3.
| Cross Multiplying to solve
2(90-x) = 3x
180 - 2x = 3x
180 = 5x
36 = x
Acute angles are 36� and 54� (90� - 36�)
CHECKING our Answer***
36/54 = 2/3
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