Answer:
x=5
Explanation:
Only 2 angles are needed to solve this question. The angels with the measures of 17x and 19x. From this point on, I will call the angel with the measurement of 17x, angle 1, and the angle with the measure of 19x, angle 2. Since the lines are parallel we know that corresponding angles are congruent. Angle 1 is corresponding with the angle right next to angle 2 and therefore they form a linear pair. This means that angles 1 and 2 are supplementary. So add angles 1 and 2 and set them equal to 180. This looks like 17x+19x=180. Then simply solve, this ends with x=5.