SOLUTION: (1) An angle of a triangle is 65 degree and the other two differ by 16 degree. Find the other two angles. (2) An angle of a triangle is 98 degree and the larger of the

Algebra ->  Triangles -> SOLUTION: (1) An angle of a triangle is 65 degree and the other two differ by 16 degree. Find the other two angles. (2) An angle of a triangle is 98 degree and the larger of the       Log On


   

Question 1039843: (1) An angle of a triangle is 65 degree and the other two differ by 16 degree. Find the other two angles.

(2) An angle of a triangle is 98 degree and the larger of the other two angles is 14 degree less than five times the smaller. Find the other two angles.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A%2BB%2B65=180
B=A-16
Substituting,
A%2BA-16%2B65=180
2A=131
A=131%2F2
Then,
B=131%2F2-16
B=131%2F2-32%2F2
B=99%2F2
,
,
,
A%2BB%2B98=180
A=5B-14
Substituting,
5B-14%2BB%2B98=180
6B=96
B=16
Then,
A=5%2816%29-14
A=80-14
A=66