Question

If two angles are complementary and in the ratio $17:13$. Find the measure of angles.

• A. ${61}^o,{29}^o$
• B. ${51}^o,{39}^o$
• C. ${71}^o,{19}^o$
• D. ${17}^o,{13}^o$

Answer 1

Answer: (B)

${51}^o,{39}^o$

Let the angle be A and B
$A+B={90}^o$ (complementary angles)
If $A=17x,B=13x$ (Given)
$17x+13x=90˚$
$30x=90˚$
$x=3˚$
$\therefore A=17\times 3˚=51˚,B=13\times 3˚=39˚$