Question

If two complementary angles are in the ratio $13:5$, then the angles are ________.

• A. ${65}^o,{35}^o$
• B. ${65}^o,{25}^o$
• C. ${15}^o,{65}^o$
• D. ${15}^o,{85}^o$

Answer 1

Answer: (B)

${65}^o,{25}^o$

Given that the ratio of two complementary angles is $13:5$.

Let the angles are$13x$ and $5x$

We know, $13x+5x={90}^o$

$\Rightarrow x=5$

Therefore, the angles are ${65}^o$ and ${25}^o$.