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If angle 1 is the central angle BOC which intersects the arc BC, then 2x + 3 = 5x - 17 because a central angle has the same numbers of degrees as the arc it intercepts.

2x + 3 = 5x - 17

20 = 3x

20/3 = x

Thus, x is 6 2/3 degrees.

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Q: The measure of angle 1 equals 2x plus 3 and the measure of arc BC equals 5x - 17 Find the value of x?
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