SOLUTION: The measures of the two acute angles in a right triangle are in the ratio 2:3. What is the measure of the smallest angle of the triangle?

Question 255680: The measures of the two acute angles in a right triangle are in the ratio 2:3. What is the measure of the smallest angle of the triangle?
Found 2 solutions by edjones, richwmiller:
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
180-90=90
2+3=5
2/5 * 90
=36 deg
.
Ed
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
2x/5+3x/5+90=180
2/5*90=180/5=36 smallest
90-36=54 larger acute

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