Question

The measure of the smallest angle of a triangle is one-fourth the measure of the largest angle. The measure of the second angle is 36 less than the measure of the largest angle.

Answer 1

Let the smallest angle be x. Then, since the three angles add up to 180,

x + (4x) + (4x-36) = 180

Now find x, and you can figure the angles.

Answer 2

a, b , c

a+b+c=180

a = c/4
b = c-36
so
c/4 + c-36 + c = 180

2.25 c = 216

c = 96
b = c-36 = 60
a = 24