Question

The angles of a triangle are in the ratio 2:5:8. What is the measure of
the largest angle?

Answer 1

Answer:

96 degrees

Step-by-step explanation:

All angles of a triangle (on a plane) have a sum of 180 degrees, so the values in the ratio can be represented as 180 = 2x + 5x +8x. Simplify this to get 180 = 15x, and divide both sides by 15 to get x = 12 degrees. Plug this into your largest angle of 8x to get 8*12, which results in a 96 degree angle.