The smallest angle in a triangle is one-half the size of the largest The middle angle measures 25degrees less than the largest Find the measures of the three angles?

Sum of all the angles in the triangle has to be 180 degrees.

Let's mark the largest angle as x.

Then, smallest angle will be 0.5x and the middle one x-25.

x + 0.5x +x - 25 = 180, which is after simplyfying:

2.5x = 205

x = 82 degrees -> the largest angle,

x-25 = 57 degrees -> middle one,

0.5x = 41 degrees -> the smallest angle.