The angles of a triangle are in the ratio of 2 : 12 : 16. The sum of all the angles in a triangle must equal 180 degrees. What is the degree measure of each angle of the triangle? also write and equation that can be used to solve this problem

If the ratios are 2:12:16 the equation that should be used is 2x + 12x + 16x = 180.

First solve for x:

2x + 12x + 16x = 180

30x = 180

x = 6

Then plug x back in to find the degrees for each angle:

2x = 2 (6) = 12

12x = 12 (6) = 72

16x = 16 (6) = 96

These are the degrees for each triangle: 12 degrees, 72 degrees, and 96 degrees which adds up to 180 degrees in total.

The equation, also at the top, is 2x + 12x + 16x = 180.