Family Relations
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Alpha is Beta’s sister.
Gamma is a Beta mother.
Delta is Gamma’s father.
Tango is Delta’s mother.
Then,
How is Alpha related to Delta? 
Unless Alpha and Beta are born to different mothers (same father), Delta is Alpha’s maternal grandfather.
Since Alpha is Beta’s sister AND Gamma is Beta’s mother, unless Alpha was born to a different mother (but to same father as Beta so that (s)he can be Beta’s (step)sister), Gamma must be the mother of Alpha as well. Also, it is given that Delta is Gamma’s father, i.e., Alpha and Beta’s mother’s father – in other words, maternal grandfather.
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