Sig Figs Question: 10.58 + 9.17 = 19.75 what is the answer to two sig figs?

No, 19.75 i's correct, you should have the same number of sig figs after the decimal in your answer as the number with the least amount of sig figs after the decimal in your problem. In this case, since they both have 2 sig figs after, so you should have 2 in your answer as well.