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Bingel [31]
3 years ago
8

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

Mathematics
1 answer:
Mariulka [41]3 years ago
6 0

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.

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