SOLUTION: In Triangle abc , angle a is 5 times angle b, and angle c is 16 degrees less than angle b. What are the measures of the three angles?

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Question 178436: In Triangle abc , angle a is 5 times angle b, and angle c is 16 degrees less than angle b. What are the measures of the three angles?
Answer by Mathtut(3670) About Me  (Show Source):
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In Triangle abc , angle a is 5 times angle b, and angle c is 16 degrees less than angle b. What are the measures of the three angles?
:
a=5b........eq 1
c=b-16......eq 2
a+b+c=180...eq 3
:
take values a which is 5b from eq 1 and c which is b-16 from eq 2 and plug them into eq 3
:
5b+b+b-16=180
:
7b=196
:
highlight%28b=28%29degrees
:
highlight%28a=5%2828%29=140%29degrees
:
highlight%28c=28-16=12%29degrees