Answer:
82 degrees.
Step-by-step explanation:
The lines AB, HG, IJ, and DC are parallel lines and the line DB is the transversal that is intersecting this group of parallel lines. It is given that the angle formed by the intersection of HG and DB is 98 degrees. Since the line is straight, the supplementary angle can be calculated by subtracting 98 degrees from 180 degrees, which is 82 degrees. Alternate angles are the angles that are formed by the intersection of the group of parallel lines and the transversal on the opposite sides of the transversal. The angles are corresponding angles if they are present on the same side of the transversal. Due to the property of corresponding angles, the angles formed by the intersection of IJ and DB are also 98 degrees and 82 degrees respectively. By the property of the alternate angles, the angle BDC is also 82 degrees. Therefore, 82 degrees is the correct answer!!!
