explanation: first, we need to find angle T. we know that angle T and angle R are vertical angles, which means they’re the same. therefore, we solve the equation for x by doing angle T = angle R: 3x + 36 = 6x - 9 subtract 36 on both sides 3x = 6x - 45 subtract 6 on both sides -3x = -45 divide both sides by -3 x= 15 then, plug in the value of x in 3x+36 to get angle T: 3(15) + 36= 81° we found that angle T is 81°. now, we need to find the supplementary angle of angle T. supplementary angles add up together to have a sum of 180°. to find the supplementary angle, subtract angle T from 180°: 180 - 81 = 99° there we have the answer!
