Question

If the angles of a triangle are in the ratio 2:3:4, find the respective angles(in degrees).

• A. 40, 60 & 80
• B. 80, 60 & 40
• C. 60, 40 & 80
• D. 50, 60 & 70

Answer 1

The correct option is A 40, 60 & 80

We know that,
Sum of all angles in a triangle is 180°.

Now,
$2x+3x+4x=180°$
$9x=180°$
$x=20°$

Therefore, $x=20°$
Hence, the angles of the given triangle are -
$2x$ = $2\times 20°=40°$
$3x$ = $3\times 20°=60°$
$4x$ = $4\times 20°=80°$