What are the two cases in which the laws of sines can be applied to solve a non-right triangle? . case i. you know the measures of two angles and any side of the triangle.. case ii. you know the measures of two sides and an angle opposite one of the two known sides.. case iii. you know the measures of two sides and the included angle.. case iv. you know the measures of all three sides.. a. case i and case iii. b. case ii and case iv. c. case iii and case iv. d. case i and case ii.