If $(x + 4)$ and $(3 x + 2)$ are complementary angles, then find the value of $x$ .

15 °

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21 °

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27 °

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33 °

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Solution

The correct option is B $21 °$
If two angles add up to 90°, they are called complementary angles.

Since, $(x + 4)$ and $(3 x + 2)$ are complementary angles,
$(x + 4) + (3 x + 2) = 90 °$
$\Rightarrow (4 x + 6) = 90 °$
$\Rightarrow 4 x = 84 °$
$\Rightarrow x = 21 °$

The value of $x = 21 °$ .

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