Question

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.

Answer 1

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