Step 1 :We are given a triangle ABC with side lengths c = 8.5 cm, b = 7 cm, and angle A = 52 degrees.
Step 2 :We can use the Law of Sines to find the other angles and the Law of Cosines to find the third side.
Step 3 :Using the Law of Sines, we find that angle A = 0.908 radians, which is approximately 52 degrees.
Step 4 :Using the Law of Cosines, we find that side a = 6.93 cm.
Step 5 :Using the Law of Sines again, we find that angle B = 52.78 degrees and angle C = 126.32 degrees.
Step 6 :\(\boxed{\text{Final Answer: The measures of the sides and angles of the triangle are } a = 6.93 \, cm, B = 52.78 \, degrees, \text{ and } C = 126.32 \, degrees.}\)