Angle sum is 900 degrees, so if you subtract 3 x 90 you're left with 630 to be shared out between 4 angles.

I cannot see any reason why one of them shouldn't be 179 if you want a convex polygon or even 359 if reflex angles are ok. That would still leave you with 281 for the remaining 3 angles.

(My geometry software defaults measured angles to the acute or obtuse value so I've had to 'doctor' the measure to get the reflex value.)

Bob

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