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 a
s large as the smallest angle. Find the measures of all three angles.
1 answer:
Answer:
a = 132; b = 12; c = 36
Step-by-step 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)
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