Answer:
x° = 43°
Explanation:
You want the measure of the angle marked x° in the circle with arcs of 152° and 122° shown.
Inscribed angle
The arc subtended by the inscribed angle x° will be the measure of the arc that makes up the rest of the 360° circle:
360° -152° -122° = 86°
The measure of angle x° is half the measure of the subtended arc:
x° = 86°/2
x° = 43°
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