Question

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

Answer 1

Answer: Similar.

Explanation:

Given:
`AB||DE`

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,
`AB||DE`

⇒ ∠E=∠A=38° [ ∵ Alternate angles]

Therefore, by AA similarity rule, we have

ΔABC is similar to ΔDEC.