For what value of $x$ , two angles $(x + 7) °$ and $(2 x + 11) °$ are complementary ?

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Solution

Two angles are called complementary when their measures add to $90 ° .$
$s o x + 7 + 2 x + 11 = 90 ° 3 x + 18 = 90 x = \frac{90 - 18}{3} x = \frac{72}{3} = 24 °$
Hence, the value of $x$ is $24 °$

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