Question

The difference between two angles is $19$${}^o$ and their sum is ${\frac{890}{9}}^o$. Find the greater angle.

• A. ${63}^o$
• B. ${35}^o$
• C. ${27}^o$
• D. ${59}^o$

Answer 1

Answer: (D)

${59}^o$

Let the two angles be $a$ and $b$

Then,

$a-b=19$

and, $a+b=\frac{890}{9}$

Adding the two equations,

$2a=\frac{890+19\times 9}{9}$

$2a=\frac{1061}{9}$

Thus, $a=\frac{1061}{18}$

$a\approx {59}^{\circ }$