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

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