SOLUTION: use a ratio box to solve this problem. the ratio of the measure of the two acute angles of the right triangle is 7 to 8. whAT IS THE MEASURE OF THE SMALLEST ANGLE of the triangle

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Question 687995: use a ratio box to solve this problem. the ratio of the measure of the two acute angles of the right triangle is 7 to 8. whAT IS THE MEASURE OF THE SMALLEST ANGLE of the triangle
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

the ratio of the measure of the two acute angles of the right triangle is 7+to+8. what IS THE MEASURE OF THE SMALLEST ANGLE of the triangle
alpha%2Fbeta=7%2F8......1
alpha%2Bbeta%2Bgamma=180................ in the right triangle gamma=90
alpha%2Bbeta%2B90=180
alpha%2Bbeta=90............................2
_________________________
alpha%2Fbeta=7%2F8......1..solve for alpha
alpha=%287beta%29%2F8......plug in 2
%287beta%29%2F8%2Bbeta=90........solve for beta
%287beta%298%2F8%2B8beta=90%2A8
7beta%2B8beta=720
15beta=720
beta=720%2F15
highlight%28beta=48%29...now find alpha
alpha=%287beta%29%2F8
alpha=%287%2A48%29%2F8
alpha=%287%2Across%2848%296%29%2Fcross%288%29
alpha=7%2A6
highlight%28alpha=42%29.....................the smallest angle