A circle is a curve sketched out by a point moving in a plane. The measure of the ∠ACB or θ is 50°.
<h3>What is a circle?</h3>
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.
In order to solve the problem, we need to draw a line segment AB. Since A is the center of the circle AC and AC both will be the radius of the triangle ΔABC. Since two sides of the triangle are equal, the measure of ∠ABC and ∠ACB will be equal therefore, we can write,
∠ACB + ∠ABC + ∠BAC = 180°
2∠ACB + 80° = 180°
∠ACB = 50°
Hence, the measure of the ∠ACB or θ is 50°.
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