SOLUTION: The acute angle of a right triangle are in ratio 4:5 find the measure of each acute angle

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Question 865850: The acute angle of a right triangle are in ratio 4:5 find the measure of each acute angle
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Right triangle, and the non-right angles may be expressed, according to your ratio, 4x and 5x; so you would have sum of the angles equaling 180 degrees.

4x%2B5x%2B90=180.
9x%2B90=180
9x=180-90=90
x=90%2F9
highlight_green%28x=10%29.
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The angle measures other than the right angle are 4%2A10=40 and 5%2A10=50; 40 degrees and 50 degrees.