Using the Third Corollary to the Inscribed Angle Theorem The measure of 20 is (x+2) and the measure of 2S is (9x-7). What are the measures of angles Qand S? Since angles Q and S are opposite they are supplementary. of a quadrilateral inscribed S in a (x+2)+(9x-7) = 180 10x 5=180 100 185 = 10 10 x = 18.5 T Plug this value of x into the expressions. m2Q (18.5) + 2 = mes 9(18.5)-7= = D Q [Not drawn to scale] You could have also used the fact that opposite angles are supplementary to find the measure of angle S. 180 20.5= R