SOLUTION: the measure of the acute angles of a right triangle are in the ratio 4:5. Find the measure of each angle.

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Question 375333: the measure of the acute angles of a right triangle are in the ratio 4:5. Find the measure of each angle.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

acute angles of a right triangle are in the ratio 4:5

Let x and (90°-x) represent the angles

4%2F5+=+x%2F%2890-x%29

Cross multiply to solve for x

4(90°-x) = 5x

4*90°-4x = 5x

360° = 9x

40° = x        

40° and 50° are the measures of these acute angles of a right triangle