A circle is a curve sketched out by a point moving in a plane. The measure of x is 60°.
A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
Given that the measure of the arc AC is 120°. Now, as we know, the diameter divides the circle into two equal chords of 180° each. Therefore, the measure of x can be written as,
[tex]x = {\rm arcAB-arc AC}\\\\x = 180^o-120^o\\\\x = 60^o[/tex]
Hence, the measure of x is 60°.
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