Question

Find smallest of two complementary angles, if they are in the ratio $3:7$

• A. $15$
• B. $27$
• C. $36$
• D. none of the above

Answer 1

The correct option is B $27$

Two angles whose sum is ${90}^o$ are said to be complementary.

Given two angles are in the ratio of $3:7$

Let the two angles be $3x$ and $7x$.

So, $3x+7x={90}^o$

$\Rightarrow 10x={90}^o$

$\Rightarrow x=\frac{90}{10}$

$\Rightarrow x=9$

Therefore, the two angles are $3x={27}^o$ and $7x={63}^o$.