the measures of the angles in a triangle are in the extended ratio of 1:4:7. Find the measures of the angles.

Let x be the smallest angle, 4x the next largest and 7x the largest.......and we have

x + 4x + 7x  = 180

12x  = 180      divide both sides by 12

x = 15°

4x  = 60°

7x = 105°