Find measurement of b bc and ac

Question

Sol1 : m∠B =  °, BC = , AC =   

Sol2 : m∠B =  °, BC = , AC = 

Sol3 : m∠B =  °, BC = , AC = 

Answer 1

The measure of angle B is 180 - (25 + 36) = 119

Since you know an interior angle and the side opposite the angle, you can use the law of Sines

(sin 36)/28 = (sin 25)/side BC cross multiply to get BC(sin 36) = 28 (sin 25) divide both sides by sin 36

BC = 28(sin 25)/(sin 36) = 20.13

(sin36)/28 = (sin119)/side AC AC = 28(sin119)/(sin 36) = 41.66