Answer
$A=45.58°$
$B=44.42°$
$C=90°$
$a=25$
$b=24.49$
$c=35$
Work Step by Step
$c^2=a^2+b^2$
$35^2=25^2+b^2$
$b^2=1225-625=600$
$b=\sqrt {600}=10\sqrt 6=24.49$
$sin~A=\frac{opp}{hyp}=\frac{a}{c}=\frac{25}{35}=\frac{5}{7}$
$A=arcsin(\frac{5}{7})=45.58°$
$sin~B=\frac{opp}{hyp}=\frac{b}{c}=\frac{10\sqrt 6}{35}=\frac{2\sqrt 6}{7}$
$B=arcsin(\frac{2\sqrt 6}{7})=44.42°$
$C=90°$ because it is a right triangle.
