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

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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) About Me  (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) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

The acute angle of a right triangle, are in the ratio 2:3.

2%2F3+=+x%2F%2890-x%29  | 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