Question

The angles of a triangle are in the ratio $2:3:4$.Then the angles are$40,60,80$.Is it true?If true enter 1 else 0.

Answer 1

Given that the angles of a triangle are in the ratio $2:3:4$.

Let the angle be $2x,3x$ and $4x$.

As we know that sum of all the interior angles in a triangle is $180°$.

$\therefore 2x+3x+4x=180°$

$\Rightarrow 9x=180°$

$\Rightarrow x=\frac{180°}{9}=20°$

Therefore the angles are $40°,60°$ and $80°$ respectively.