Angle Formed by a Tangent and a Secant Intersecting at a Point Outside the Circle

How will you determine the measure of the angle formed by the tangent and a secant intersecting outside the circle?
ACTIVITY:[br]1. Name the tangent to the circle, secant to the circle, and the angle formed by the secant and the tangent.[br]2. Manipulate point C or point A, then fill up the table below:[br][img]data:image/png;base64,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[/img]
You might want to visit my YouTube Channel for some explanation and exercises.
https://www.youtube.com/watch?v=xU4FnYfTOic[br]https://www.youtube.com/watch?v=yWH6Wc9x_nw

Information: Angle Formed by a Tangent and a Secant Intersecting at a Point Outside the Circle