Question

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

Answer 1

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.