# trigonometry

posted by
**Leo**
.

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

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

Was there an additional piece of information that you skipped?