Use the information below to find the missing measure such that triangle abc~ triangle def.
ab = 35, de = 14, df = 22, angle a= angle d = 57 degrees, ac=?

If the triangles are similar, DE/DF=AB/AC, so 14/22=35/AC.  Dividing by 7 and simplifying, we have 1/11=5/AC.  Multiplying by 11AC, we see that AC=55.

AC = 55 units

Explanation:
Since we want the two triangles to be similar, therefore, we can apply the similarity ratio.
This ratio is as follows:


We are given that:
AB = 35
DE = 14
DF = 22

Substitute with the givens in the above relation to get AC as follows:
units

Hope this helps :)