SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given parameters
![\begin{gathered} For\text{ }\Delta ABC \\ A=30,B=75,c=?,AB=4,BC=2,CA=4 \\ \text{For }\Delta DEF \\ D=30,E=75,F=?,DE=12,EF=6,FD=12 \end{gathered}]()
STEP 2: Calculate the measures of given angles in question a
![\begin{gathered} \text{Total angles in a triangle=180 d}egrees \\ For\text{ }\Delta ABC \\ A+B+C=180 \\ 30+75+c=180 \\ C=180-105=75^(\circ) \\ \text{For }\Delta DEF \\ D+E+F=180 \\ 30+75+D=180 \\ D=180-105=75^(\circ) \end{gathered}]()
STEP 3: Calculate the ratios in question c
STEP 4: Answer question d
It can be seen from the calculations above that the two triangles both have same angles, they have equal ratio of corresponding side lengths. Therefore, they are similar.
Hence, the correct statements are as follows: