Area of a triangle - finding two possible angles

In the triangle above: AB = 14cm BC = 17cm You can move the position of point C to change the size of the triangle, but keeping the measurements of AB and BC. a) If the triangle has an area of 103cm², find the possible values of angle ABC. b) If the triangle has an area of 32.7cm², find the possible values of angle ABC. c) If the triangle has an area of 84.2cm², find the possible values of angle ABC. What do you notice about the two answers you get each time?