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By the cosine law:
7.5^2 = 7^2 + 8^2 - 2(7)(8)cos Q
cosQ = .50669...
angle Q = 59.556°
In any cyclic quad, opposite angles are supplementary,
so angle S = 120.444°
If Ja, genau die selbe, nur ein wenig verlaengert
If SR=SP, then you have an isosceles triangle, with and S still 120.444°
Surely you can find each of the two equal angles.