# The angles of a triangle are in the ratio of 2:3:4. What is the degree measure of the largest angle?

May 23, 2018

Three angles are color(purple)(40^@, 60^@, 80^@ respectively.

#### Explanation:

Sum of the three angles of a triangle $= {180}^{\circ}$

Given the three angles are in the ratio $2 : 3 : 4$

Let the angles be $\hat{A} , \hat{B} , \hat{C}$

hat A = (2/(2+3+4))^180 = color(purple)(40^@

hat B = (3/(2+3+4))^180 = color(purple)(60^@

hat C = (4/(2+3+4))^180 = color(purple)(80^@