The area of a triangle is (1/2) of the product of any two sides times the sin of the angle between them.
When you are given 2 angles you immediately have the third and you need to use the law of sines to get the other side you need.
In part c you need to use the law of sines to get a 2nd angle, then you will have the third angle also
Make sure you draw a figure for EACH part.