SOLUTION: okay so in a right triangle the degree measures of the acute angles are in the ratio of 2:3. the degree measure of the smallest angle is___.
please tell me how to solve this pro
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Question 286186: okay so in a right triangle the degree measures of the acute angles are in the ratio of 2:3. the degree measure of the smallest angle is___.
please tell me how to solve this problem
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
okay so in a right triangle the degree measures of the acute angles are in the ratio of 2:3. the degree measure of the smallest angle is___.
please tell me how to solve this problem
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Those two acute angles are complementary; they add up to 90 degrees.
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2:3 is the same as 2x to 3x
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Equation:
2x + 3x = 90 degrees
5x = 90 degrees
x = 18 degrees
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The smaller angle is 2x = 2*18 = 36 degrees.
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Cheers,
Stan H.
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