Question

If the angles of a triangle are in the ratio 2 : 3 : 4, then find the measures of each angle of the triangle

• A. 40 ° , 60° , 80°
• B. 45 ° , 65° , 80°
• C. 30 ° , 60° , 90°
• D. 35 ° , 65° , 90°

Answer 1

The correct option is A

40 ° , 60° , 80°

Given that angles of the triangle are in the ration 2 : 3 : 4

Let the angles be 2$x$ , 3$x$ , 4$x$

The sum of angles of a triangle = 180°

Hence we have 2$x$ + 3$x$ + 4$x$ = 180°

$\Rightarrow$ 9$x$ = 180°

$\Rightarrow$ $x$ = 20°

Hence the measures of the angles are 2$\times$ 20 = 40°, 3$\times$ 20 = 60° and 4$\times$ 20 = 80°