Question 2207
Complementary angles = 90 degrees
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Lets set up the equation just like you said it.
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The measure of an angle--90
is =
28 degrees greater than it's compliment (let the compliment by x)--28+x
And, of course, the compliment itself--x
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Now, combine these and we get...
90 = (28 + x) + x
x = 31
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The compliment angle is 31.
Now, plug 31 in for x for (28 + x), and we get 59
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<b>So the 2 angles have a measure of 31 & 59</b>
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CHECK
28 + the compliment angle + the compliment angle = 90
28 + 31 + 31 = 90
MS