Question

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The measure of an angle formed by a secant and a tangent drawn from a point ____ the circle is half the ____ of the intercepted arcs.

Answer 1

Explanation:

The measure of an angle formed by a secant and a tangent drawn from a point outside the circle is half the difference of the intercepted arcs.

In other words, if you have a circle and draw a secant and a tangent from a point outside the circle, the angle formed between the secant and the tangent is equal to half the difference between the measures of the intercepted arcs.

This relationship is known as the "angle formed by a secant and a tangent theorem." It is a useful geometric property often used in solving problems involving circles and angles.