Hint: The total of angle measurements inside any pentagon is the same.

Question

Hint: Look up the mathematical definition of an arithmetic sequence.

IF THE MEASURES OF THE ANGLES OF A PENTAGON FORM AN ARITHMETIC SEQUENCE, WHAT ARE THE GREATEST AND LEAST MEASURES EACH ANGLE CAN HAVE?

There is no unique answer to this question, the following 3 sets are just some examples of solutions

88,98,108,118,128
106,107,108,109,110
8,58,108,158,208

each set forms an arithmetic sequence and adds up to 540º

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