In triangle abc, the measure of angle b is 16 degrees more than three times the measure of angle

a. the measure of angle c is 44 degrees more than the measure of angle

a. find the measure of each angle.

Measure of angle a = a

measure of angle b = b, b = 16 + 3a

measure of angle c = c, c = 44 + a

all three angles within any triangle have a sum of 180°, so a + b + c = 180

Now substitute:

a + (16 + 3a) + (44 + a) = 180

a + 3a + a + 16 + 44 = 180

5a + 60 = 180

5a + 60 - 60 = 180 - 60

5a = 120

5a/5 = 120/5

a = 24

b = 16 + 3a = 16 + 3 (24) = 16 + 72 = 88

c = 44 + a = 44 + 24 = 68