To answer this question you must know that there is a theorem called the "Two secants angle theorem", which establishes that the measure of an angle formed when two secants intersecting outside the circle is equal to 1/2 the difference of the two intercepted arcs. Therefore, as you can see, the correct answer is the option B): B)1/2 the difference of the intercepted arcs.
Two secants angle theorem: Two secants theorem states that the measure of an angle formed when two secants intersects outside the circle is always equal to the difference of the two intercepted arcs.
Therefore, from the theorem of two secants angle, The measure of an angle formed by two secants intersecting outside the circle equals the difference of the intercepted arcs.
