Question 836951
Set angles a, b, c

Since all angles must be >0; assume b is smallest angle

a = 4b
a + b + c = 180
c = b + 15

a + b + c = 180; rewrite in terms of only angle 'b'

4b + b + b + 15 = 180

6b + 15 = 180

b = 27.5 degrees

a = 4b = 4(27.5) = 110 degrees

c = b + 15 = 27.5 + 15 = 42.5

CHECK:

27.5 + 110 + 42.5 = 180; Correct

<br>

*[invoke explain_simplification "4b + b + b + 15 = 180" ]