Question 963214
{{{A+B+C=180}}}
{{{23+95+C=180}}}
{{{C=62}}}
From the law of sines,
{{{a/sin(A)=b/sin(B)=c/sin(C)}}}
{{{a/sin(23)=15/sin(95)}}}
{{{a=5.88}}}
{{{c/sin(62)=15/sin(95)}}}
{{{c=13.29}}}
Using Heron's formula,
{{{s=(a+b+c)/2=17.087}}}
{{{A=sqrt(s(s-a)(s-b)(s-c))}}}
{{{A=sqrt(17.087(11.205)(2.085)(3.795))}}}
{{{A=38.92}}}
{{{A=39}}}