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what is the 68 the angle for? the arc?
The measure of an angle formed by two chords intersecting inside a circle is equal to 1/2 the sum of the arcs it cuts off and its vertical angle cuts off. So, 61 = (1/2) (68 + arc WZ) 122 = 68 + arc WZ 54 = arc WZ Inscribed angle X cuts off arc WZ. An inscribed angle has measure 1/2 its arc. Therefore, x = 1/2 of 54 = 27 --> Answer
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