Question

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

Explanation:

Step1: Find ∠D in △CDE

Sum of angles in a triangle is $180^\circ$.
$\angle D = 180^\circ - 48^\circ - 80^\circ = 52^\circ$

Step2: Compare angles of both triangles

△CDE angles: $48^\circ, 80^\circ, 52^\circ$
△FGH angles: $48^\circ, 62^\circ, (180-48-62)^\circ=70^\circ$
No matching set of 3 equal angles.

Answer:

△CDE is not similar to △FGH.