Final answer:
Four intersecting lines create eight angles at a point with the sum of degrees being 360. Dividing that by eight gives the average measure of each angle, which is 45 degrees.
Step-by-step explanation:
If four lines intersect at one point and form eight angles, they are forming four pairs of vertical angles. Vertical angles are always equal in measure.
The sum of the angles around a point is 360 degrees. Since there are eight angles, we divide 360 degrees by 8 to find the average measure of each angle: 360/8 = 45 degrees.
Therefore, the average measure of each angle is 45 degrees, which corresponds to option c.