Given: BC = AD, AD = 17 DC = 14, m∠1=m∠2 Find: AB, BC

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.