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In the figure, AB¯¯¯¯¯ is parallel to ​ DE¯¯¯¯¯ ​.

Select from the drop-down menu to correctly complete the statement.
Triangle ABC and triangle DEC are A.Similar B. Nonsimilar

In the figure AB is parallel to DE Select from the dropdown menu to correctly complete the statement Triangle ABC and triangle DEC are ASimilar B Nonsimilar class=

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ramonabilly13
The answer is A. Similar
boffeemadrid

Answer:

(A) Similar triangles

Step-by-step explanation:

It is given that AB is parallel to DE, therefore ∠CAB=∠DEC=65°(Alternate angles),

Then from ΔACB and ΔDCE, we have

∠CAB=∠DEC=65°(Alternate angles)

and ∠ACB=∠DCE=50°(Vertically opposite angles)

Thus, by AA similarity, ΔACB is similar to ΔDCE.

Hence, option A that is similar triangles is correct.

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