Question

If A triangle has angles in the ratio $2:3:4$, then the greatest angle of the triangle is a/an

• A. ${117}^o$
• B. Acute angle
• C. Right angle
• D. ${92}^o$

Answer 1

The correct option is B Acute angle

Using angle sum property
$2x+3x+4x={180}^o$
$9x={180}^o$
$x={20}^o$
$\therefore$ Angles are $2x,3x,4x$
i.e., $={220}^o,{320}^o,{420}^o$
$={40}^o,{60}^o,{80}^o$
$\therefore$ Greatest angle is ${80}^o$ which is an acute angle
$\therefore$ Answer is option (A)