Final answer:
The length of BC is 17 units and the measure of angle DBC is 67 degrees.
Step-by-step explanation:
Given that D and E are midpoints of their respective sides, we can use the fact that midpoints divide a line segment into two congruent segments. Since DE = 17, we can conclude that BC = 17 as well.
To find the measure of angle DBC, we can use the fact that the angles of a triangle add up to 180 degrees. We know that m/A = 50 degrees, and mAED = 63 degrees. Using the fact that angles DAE and DEB are congruent (since D and E are midpoints), we can calculate that m/DBC = m/ABE = 180 - m/A - mAED = 180 - 50 - 63 = 67 degrees.