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The product of the measures of the secant segment and its external secant segment. The value of x using the secant tangent theorem is 10

What are secant tangent theorem?

It states that if a tangent segment and a secant segment are drawn to a circle from an exterior point,  the square of the measures is equal to the product of the measures of the secant segment and its external secant segment. Mathematically;

(x + 8)*(8) = 12²

Simplify for the value of x

8x + 64 = 144

8x = 144 - 64

8x = 80

x = 80/8

x = 10

Hence the value of x using the secant tangent theorem is 10

Learn more on secant tangent theorem here: https://brainly.com/question/26826991

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