The angles of a triangle form an arithmetic sequence of the smallest angle measures 36 degrees what is the largest angle

They add to 180

x+y+z=180

smallest (lets say that's x) is 36

36+y+z=180

minus 36 both sides

y+z=144

each term is the common difference away from the next term

z=y+d

y+y+d=144

and also

36+d=y so

36+d+36+d+d=144

3d+72=144

minus 72 both sides

3d=72

divide both sides by 3

d=24

common difference is 24

36+24=60

60+24=84

36+60+84=180

correct

largest angle is 84 degrees