In triangle abc, the angle c is six times as large as angle

a. the measure of angle b is 60° greater than that of angle

a. find the measure of the angles.

The interior angles of a triangle add up to 180 degrees

a = 1st angle, b = 2nd angle, c = 3rd angle

c = 6a

b = a + 60

a + b + c = 180

a + (a + 60) + (6a) = 180

8a + 60 = 180

8a = 180 - 60

8a = 120

a = 120/8

a = 15 < = = = here is one angle

b = a + 60

b = 15 + 60

b = 75 < = = = and another one

c = 6a

c = 6 (15)

c = 90 < = = = and the last angle