SOLUTION: The sum of the angles of a triangle is 180°. Find the three angles of the triangle if one angle is three times the smallest angle and the third angle is 30° greater than the smalle

Algebra ->  Equations -> SOLUTION: The sum of the angles of a triangle is 180°. Find the three angles of the triangle if one angle is three times the smallest angle and the third angle is 30° greater than the smalle      Log On


   

Question 1059280: The sum of the angles of a triangle is 180°. Find the three angles of the triangle if one angle is three times the smallest angle and the third angle is 30° greater than the smallest angle.
Answer by addingup(3677) About Me  (Show Source):
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Let the angles be A,B, and C.
B = 3A
C = A+30
A+B+C = 180 Substitute:
A+3A+A+30 = 180
5A = 150
A = 30 and
B = 3A = 30*3 = 90
C = A+30 = 30+30 = 60