SOLUTION: two legs of a right triangle have lengths eight and twelve. what is the measure of the smallest angle?

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Question 755145: two legs of a right triangle have lengths eight and twelve. what is the measure of the smallest angle?
Answer by reviewermath(1029) About Me  (Show Source):
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Q:
two legs of a right triangle have lengths eight and twelve. what is the measure of the smallest angle?
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A:
Let ϴ be the measure of the smallest angle.
tan ϴ = 8%2F12 = 2%2F3
ϴ = tan inverse of 2%2F3 = highlight%2833.69%29 degrees