Question 85856
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.