Step 1: Work out what the two figures are asking.
Each figure already shows six letters arranged in a stepped shape, with two cells left blank. Once we drop the right two letters into the blanks, all eight letters together should rearrange into one common English word. The two words we get from the two figures must mean the same thing, since the question asks for synonyms.
Step 2: List the letters already given in each figure.
The left figure gives us T, I, M, E, D, O.
The right figure gives us T, I, N, E, C, E, note that E appears twice here.
Step 3: Try the letter pairs on the right figure first, since the repeated E narrows things down.
Adding D and N to T, I, N, E, C, E gives the eight letters C, D, E, E, I, N, N, T. These rearrange exactly into the word INDECENT. INDECENT means not proper, lacking modesty or decency in behaviour or dress.
Step 4: Now test the left figure with the letter pair left over.
If the right figure uses D and N to spell INDECENT, the left figure should use the remaining pair, M and S. Adding M and S to T, I, M, E, D, O gives I, M, M, O, D, E, S, T, which rearranges exactly into the word IMMODEST. IMMODEST means not modest, showing a lack of proper restraint in dress or behaviour.
Step 5: Check that the two words are synonyms.
IMMODEST and INDECENT both describe behaviour, speech or dress that goes against accepted standards of propriety and modesty. They are synonyms of each other, which is exactly what the question asks for.
Step 6: Final Answer.
The left figure's blank takes MS to spell IMMODEST, and the right figure's blank takes DN to spell INDECENT, so the correct choice is option (4), MS, DN.