Answer:
160°
Explanation:
You want the central angle marked x defined by the radii to two tangents that meet at a 20° angle.
Kite
The central angle AOB (marked x) and the exterior angle ACB are supplementary. This means x is ...
x = 180° -20° = 160°
The value of x is 160°.
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Additional comment
The sum of all angles in the kite shape is 360°. The angles at A and B are both 90°, leaving 180° for the total of the angles at O and C.
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