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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 .

Two triangles that touch at point C. One triangle has an angle of 38 degrees at point E. The other triangle has an angle of 50 degrees at point C.


Similar or nonsimilar

come on guys I know your smart

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ratsnacks
a little late but its similar
JeanaShupp

Answer: Similar.

Step-by-step explanation:

Given: [tex]AB||DE[/tex]

In ΔABC and ΔDEC

∠E=38° in ΔDEC and ∠BCA=50° in ΔABC.

From the given information we draw the figure given below.

We can see that   in ΔABC and ΔDEC

∠BCA=∠FCD=50° [∵ Vertical angles]

Also, [tex]AB||DE[/tex]

⇒ ∠E=∠A=38°  [ ∵ Alternate angles]

Therefore, by AA similarity rule, we have

ΔABC is similar to ΔDEC.

Ver imagen JeanaShupp

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