Question

The angles of a triangle are in the ratio of $2:3:4.$ What is the measure of the smallest interior angle of the triangle?

• A. ${10}^o$
• B. ${20}^o$
• C. ${30}^o$
• D. ${40}^o$

Answer 1

Answer: (D)

${40}^o$

By angle sum property, the sum of angles is ${180}^o$.

Let $2x,3x$ and $4x$ be the three angles.

$2x+3x+4x={180}^o$
$9x={180}^o$
$x={20}^o$
Smallest interior angle $=2\times {20}^o={40}^o.$