Applying the tangent theorem, the value of x is: A. 23°
What is the Tangent Theorem?
The tangent theorem states that a tangent is perpendicular to the radius of a circle, and thus forms angle 90 at the point of tangency.
Therefore, we have two right triangles in the image shown which are ΔACB and ΔACD.
1/2(x) = 180 - [1/2(157) + 90]
1/2(x) = 11.5
x = 2(11.5)
x = 23°
Thus, applying the tangent theorem, the value of x is: A. 23°
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