SOLUTION: the measure of two complementary angels are 16z-9 and 4z + 3. FInd the measures of the angels.

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Question 51579: the measure of two complementary angels are 16z-9 and 4z + 3. FInd the measures of the angels.
Answer by rchill(405) About Me  (Show Source):
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By definition, two complementary angles must add up to 90. Therefore, we have 16z-9%2B4z%2B3=90. We combine like terms and get 20z-6=90. Add 6 to both sides to get 20z=96 and now divide both sides by 20 gives us z=96%2F20. Now using substitution, in the first equation we get 16%2A96%2F20-9 which reduces to 67.8. This means the second angle must be 90-67.8, or 22.2, degrees. We can verify by substituting 96%2F20 in the second equation: 4%2A96%2F20%2B3 simplifies to 22.2.