<PRE><B>Question 1185491</B>
&lt;br&gt;
In the triangle containing angle c, the angle sum is&lt;br&gt;
{{{2a+(180-2b)+c=180}}}&lt;br&gt;
Solve that for c to get&lt;br&gt;
{{{c=2b-2a}}}&lt;br&gt;
{{{c=2(b-a)}}} [1]&lt;br&gt;
In the triangle containing the 37 degree angle, the angle sum is&lt;br&gt;
{{{a+37+(180-b)=180}}}&lt;br&gt;
Simplify that equation to get&lt;br&gt;
{{{b-a=37}}} [2]&lt;br&gt;
Substitute [2] into [1]:&lt;br&gt;
ANSWER: c = 2(37) = 74 degrees&lt;br&gt;
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