Which statement about BC←→ is correct?

BC←→ is a tangent line because the sum of the angles in △ABC is 180º.

BC←→ is not a tangent line because m∠ABC≠90°.

BC←→ is a tangent line because m∠ABC is acute.

BC←→ is a tangent line because △ABC is a right triangle.
Circle with center A has point B on the perimeter and point C outside and above the circle. Line C B touches the perimeter of the circle at point B. A line segment connects points A and B. A line segment connects points A and C. Angle C A B is forty-seven degrees. Angle A C B is forty-eight degrees.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant. The correct option is B.

What is a circle?

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 center.

In ΔABC, the sum of all the angles can be written as,

∠A + ∠B + ∠C = 180°

47° + ∠B + 48° = 180°

∠B = 85°

Since a tangent always intersects a circle at 90°, therefore, the measure of ∠B should be 90°, but since the measure of ∠B is 85°. Therefore, BC←→ is not a tangent line because ∠ABC≠90°.

Hence, the correct option is B.

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