SOLUTION: Find the measures of the acute angles of a right triangle in a ratio of 2:3

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Question 85856: Find the measures of the acute angles of a right triangle in a ratio of 2:3
Answer by Earlsdon(6294) About Me  (Show Source):
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Use the fact that the sum of the angles in any triangle = 180 degrees.
2x + 3x + 90 = 180 Combine like-terms.
5x + 90 = 180 Subtract 90 from both sides.
5x = 90 Divide both sides by 5.
x = 18
2x = 36
3x = 54
The measures of the acute angles in a right triangle whose ratio is 2:3 are:
36 degrees and 54 degrees.