Answer
$A \approx41.4^\circ$
$B \approx41.4^\circ$
$C\approx 97.2^\circ$
Work Step by Step
1. Use the Law of Cosines, we have $A=cos^{-1}(\frac{(10)^2+(15)^2-(10)^2}{2(10)(15)})\approx41.4^\circ$
2. It is an isosceles triangle $B=A\approx41.4^\circ$
3. We have $C\approx(180-41.4-41.4)=97.2^\circ$