Step-by-step explanation: given lines s and t are parallel and line m is a bisector, we can conclude that (2x+27) is an opposite exterior angle and congruent to the angle adjacent to (4x+9). Defining those 2 angles are supplementary, they = 180 degrees. Therefore, 2x+27+4x+9=180. Subtract 36 (27+9) from the left side of the equation as well as from the right side (180-36) you get 2x+4x=144. Add the x's you get 6x. So, 6x=144. Divide both sides by 6 and you get x=24.
