Question

Select the correct answer.

Answer 1

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.

Answer 2

Answer:

(B) ${\frac{1}{2}}$ the difference of the intercepted arcs.

Step-by-step explanation:

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  ${\frac{1}{2}}$ 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 ${\frac{1}{2}}$ the difference of the intercepted arcs.

Hence, option B is correct.