Mathematics

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


ANSWER

$$35^o$$


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