Question

If the angles of a triangle are in the ratio 2:3:5, then find the smallest angle.

• A. ${26}^{\circ }$
• B. ${40}^{\circ }$
• C. ${46}^{\circ }$
• D. ${36}^{\circ }$

Answer 1

The correct option is D

${36}^{\circ }$

Let the angles be $2x^{\circ },3x^{\circ }$, and $5x^{\circ }$

$2x+3x+5x={180}^{\circ }10x={180}^{\circ }x=\frac{{180}^{\circ }}{10}={18}^{\circ }$

$\text{Smallest angle}=2x=2\times {18}^{\circ }={36}^{\circ }$