Finding the variable of the far arc on a circle. With only an angle measurement of the angle outside the circle?

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Given a circle with a center point C and an outside angle measuring 46 degrees as shown, find what is x. ( which is the outer arc segment of the shaded sector of circle.)

Exactly as described. Not drawn to scale

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Hint (posted as an answer at @RossMillikan 's request). Join the center to the points of tangency. Then use the quadrilateral to find the central angle, then the angle for the far arc.