The angle formed by the tangent AB and the radius AO of the circle is
90°.
Response:
The given parameters are;
AB = A tangent to the circle
Point at which the tangent AB intersects the circle = Point A on the circumference of the circle
Required:
The type of triangle formed when the points A, B and O are connected.
Solution;
The center of the circle, used to describe the location of the circle is point O.
The line OA from the center to the circumference = The radius of the circle
By the properties of a tangent line to a circle, we have;
Angle formed between the radius and the tangent of a circle = 90°
Therefore;
∠OAB in ΔOAB = 90°
Which gives;
ΔOAB formed by the connecting the points A, B, and O, is a right triangle, by definition of right triangles,
The correct option is a. right
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