Question

If the angles of a triangle are in the ratio of $2:3:4$, then the difference of the measure of greatest angle and smallest angle is

• A. ${20}^{\circ }$
• B. ${30}^{\circ }$
• C. ${40}^{\circ }$
• D. ${50}^{\circ }$

Answer 1

Answer: (C)

${40}^{\circ }$

As the sum of all angles of a triangle is ${180}^{\circ }$.
Then, required difference $=\frac{4-2}{9}\times 180={40}^{\circ }$.