Question

Find the angles of the triangle if they are proportional to the following:
2,3,4

Answer 1

40, 60 and 80 degrees.

Explanation:

If the angles are proportional to 2, 3, 4, then the angle measures are 2x, 3x and 4x

2x+3x+4x=9x

Angles in a triangle add to 180 degrees, so x=20

2x=40

3x=60

4x=80

Thus, the angles are 40, 60 and 80 degrees.

Answer 2

We can call the angles 2x, 3x, and 4x. Since the sum of angles in a triangle is 180 degrees we can write:

2x + 3x + 4x = 180

9x = 180

x = 20 so the angles are 40°, 60°, and 80°.