The smallest angle in a triangle is 1/5 as large as the largest angle. The third angle is twice the smallest angle. Find the three angles.

Answer 1

x + 5x + 2x = 180

8x = 180

x = 22.5 degrees ( smallest angle), Largest Angle = 112.5 degrees and the third angle = 45 degrees

Let's call the smallest angle x. Then the largest angle is 5x and then the third angle is 2x since it is twice the smallest angle. We know that the sum of all the angles in a triangle is 180 degrees.