Answer:
No
For a quadrilateral to be cyclic (possible to inscribe in a circle), the opposite angles must be supplementary (add/sum up to 180°).
Explanation:
With the given quadrilateral, there are two opposite angles, labeled as 68° and 122°.
68° and 122° are not supplementary because they are greater than 180°.
68° + 122° = 190°.
190° > 180°.
Because they are not supplementary, the quadrilateral cannot be inscribed.
Therefore, a quadrilateral is cyclic if and only if it's opposite angles are supplementary.