If the angles $(2 x - 10)^{o}$ and $(x - 5)^{o}$ are complementary angles, find $x$ .

35^{o}

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45^{o}

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55^{o}

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N o n e o f t h e s e

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Solution

The correct option is A $35^{o}$
Angles $(2 x - 10)^{o}$ and $(x - 5)^{o}$ are complementary.
According to the question, we have
$2 x - 10 + x - 5 = 90$
$\Rightarrow 3 x - 15 = 90$
$\Rightarrow x = \frac{105}{3}$
$\Rightarrow x = 35$

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