Answer:
AB = 14 and BC = 17
Step-by-step explanation:
Congruence is a property that shows an equal relation between sides or angles of a given figure or two figures.
From the question, the given conditions are;
BC = AD, AD = 17, DC = 14, and m< 1 = m<2 .
i. Considering the property of congruence of sides,
BC = 17 (∵ BC = AD and AD has been given to equal 17)
i.e BC = AD = 17
ii. Considering the property of congruent angles and sides,
AB = 14 (∵ m<1 = m<2 and DC is 14)
Therefore, AB = 14 and BC = 17.