Progression (AP,GP)

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1)In the five-sided star shown, the letters A,B,C,D,E are replaced by the numbers  7,5,13,14,6, although not necessarily in this order. The sums of the numbers at the ends of the line segments 
AB, BC, CA, BC ,CD ,DA
 form an arithmetic sequence, although not necessarily in that order. What is the middle term of the arithmetic sequence?

A)12         B)11       D)18         E)16

2)How many non-Similar triangle have angle whose degree measures are in arithmetic progression?

A)2        B)16         C)59        D)120

3)If the number 32 is divided into 4 PARTS such that the 4 parts are in AP  and the ratio of product of 1st part and 4th part to 2nd part and 3rd part is 7:15?

Problems from IOQM DIGITAL CAMP 2021