Corresponding angles are formed when a transversal line cuts across two parallel lines. The angles formed are in corresponding position close to the transversal. Corresponding angles formed like this are congruent.
In the diagram given above, BD and XY are parallel lines cut across by a transversal line.
Angle labelled x corresponds with the angle measuring 76°. Therefore they are both congruent. Thus: x = 76°.
With the info you've given me, I know that 98 people is 2/3 of their workforce. Divide that by 2 to get 1/3, and then multiply that number by 3 to get your answer.