<PRE><B>Question 178436</B>
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(b=28)}}}degrees
:
{{{highlight(a=5(28)=140)}}}degrees
:
{{{highlight(c=28-16=12)}}}degrees</PRE>