Two complementary angles measures $(2 x + 10)^{0}$ and $(x + 20)^{0}$ . What is the value of $x$ .

20^{o}

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25^{o}

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30^{o}

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35^{o}

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Solution

The correct option is A $20^{o}$
For complementary angles
${(2 x + 10)}^{o} + {(x + 20)}^{o} = 90^{o}$
$3 x + 30^{o} = 90^{o}$
$3 x = 60^{o}$
$x = 20^{o}$

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