Question

△abc and △cde are shown below.
which statement is true?
△abc is similar to △cde.
△abc is not similar to △cde.
there is not enough information to determine whether the triangles are similar

Explanation:

Step1: Find ∠ACB in △ABC

Sum of angles in a triangle is $180^\circ$.
$\angle ACB = 180^\circ - 62^\circ - 41^\circ = 77^\circ$

Step2: Find ∠D in △CDE

Sum of angles in a triangle is $180^\circ$.
$\angle D = 180^\circ - 84^\circ - \angle DCE$
First, note $\angle ACB + \angle BCE + \angle DCE = 180^\circ$, but we know $AB \parallel CE$ (marked by red arrows, so alternate interior angles: $\angle A = \angle ECD = 62^\circ$).
$\angle D = 180^\circ - 84^\circ - 62^\circ = 34^\circ$

Step3: Compare triangle angle sets

△ABC angles: $62^\circ, 41^\circ, 77^\circ$
△CDE angles: $62^\circ, 84^\circ, 34^\circ$
No matching 3-angle pairs for similarity.

Answer:

$\Delta ABC$ is not similar to $\Delta CDE$.