SOLUTION: In any triangle, the sum of the measures of the angles is 180 degrees. In triangle ABC, angle A s 3 times as large as angle B and also 16 degrees larger than angle C. FInd the me
Algebra ->
Triangles
-> SOLUTION: In any triangle, the sum of the measures of the angles is 180 degrees. In triangle ABC, angle A s 3 times as large as angle B and also 16 degrees larger than angle C. FInd the me
Log On
Question 1051504: In any triangle, the sum of the measures of the angles is 180 degrees. In triangle ABC, angle A s 3 times as large as angle B and also 16 degrees larger than angle C. FInd the measure of each angle. Answer by addingup(3677) (Show Source):
You can put this solution on YOUR website! A = 3B divide both sides by 3: B = 1/3A
A = C+16 Subtract 16 on both sides: C = A-16
:
A+1/3A+A-16 = 180
A+1/3A+A = 196
3/3A+1/3A+3/3A = 196
7/3A = 196 multiply both sides times 3
7A = 588
A = 84
B = 84/3 = 28
C = 84-16 = 68
-------------------
Check:
84+28+68 = 180 Correct
:
John
