Question

The angles in a triangle are such that one angle is 120 degrees more than the smallest angle, while the third angle is 3 times as large as the smallest angle. Find the measures of all three angles.

Answer 1

a = 132; b = 12; c = 36

Explanation:

a = b + 120

b = b

c = 3b

a + b + c = 180

(substitute these into the above equation)

b + 120 + b + 3b = 180

5b + 120 = 180

-120 -120

5b = 60

/5 /5

b = 12

(substitute b back into the first equations)

a = (12) + 120 = 132

b = (12)

c = 3(12) = 36

(check: 132 + 12 + 36 = 180)