document.write( "Question 51579: the measure of two complementary angels are 16z-9 and 4z + 3. FInd the measures of the angels. \n" ); document.write( "

Algebra.Com's Answer #34440 by rchill(405) $\"\"$ $\"About$

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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 $\"22.2\"$ . \n" ); document.write( "

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