SOLUTION: I am having a hard time with right triangles and finding the measures for them if the are acute. For example I recently got this question on a homework assignment "Your friend is m

Algebra ->  Angles -> SOLUTION: I am having a hard time with right triangles and finding the measures for them if the are acute. For example I recently got this question on a homework assignment "Your friend is m      Log On


   



Question 1125028: I am having a hard time with right triangles and finding the measures for them if the are acute. For example I recently got this question on a homework assignment "Your friend is making a pattern for quilt pieces. Her pattern is a right triangle with two acute angles that are complementary. The measure of one of the acute angles is to be 12 degrees more than the other acute angle. Find the measure of the two acute angles" I don't know how to make an equation for this from reading it. And I don't know if I am supposed to possibly use a distance formula or something
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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..., pattern is a right triangle with two acute angles that are complementary. The measure of one of the acute angles is to be 12 degrees more than the other acute angle. Find the measure of the two acute angles".
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Right triangle with angle measures x, y, 90 degrees each.

If x and y both acute, then x%3C90 and y%3C90.
Also, since triangle is RIGHT and one angle was understood as 90 degrees, then x%2By=90.


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The measure of one of the acute angles is to be 12 degrees more than the other acute angle.
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x and x%2B12, if you want y=x%2B12.
;
highlight_green%28x%2B%28x%2B12%29=90%29%29