Question

Divide the angles of a triangles in the ratio 2:3:4.

Answer 1

The angles of a triangle equal 180 degrees. The ratio is 2:3:4, so we must find what the 'multiplier' will be to determine the angles measurement. 
We have three numbers 2, 3, and 4 all equaling to 180 degrees.
Let x represent your multiplier.
2x+3x+4x=180
9x=180
x= 180/9
x= 20

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Answer 2

Sum of angles of triangle=180 degrees

Sum of the ratio=2+3+4=9

180÷9=20 degrees

First angle=2×20=40degrees

Second angle=3×20=60degrees

Third angle=4×20=80degrees