Short Answer ? = 8 Remark The bisector of an angle divides the line it is connected to in the same ratio as the ratio of the sides creating the angle containing the bisector.
Ratio 10 / x = 15/12 Cross multiply 10*12 = 15 * x Combine the left side 120 = 15 x Divide both sides by 15 120/15 = x x = 8 <<<<< << Answer