arose0346 arose0346

03-11-2020
Mathematics

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two complementary angles have the ratio of 4:5. What is the measure of the smaller angle?

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mariag1512 mariag1512

03-11-2020

4x + 5x = 90 ... because complementary angles summed together equal 90 degrees
9x = 90
x = 10

smaller angle = 4x = 4(10) = 40

and if you wanted to find out the larger angle = 5x 5(10) = 50

and to check that they are complementary, 40 + 50 = 90

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