Question

Select the correct answer.

The measure of an angle formed by two secants intersecting outside the circle equals

A) 1/2 the sum of the intercepted arcs
B) 1/2 the difference of the intercepted arcs
C) 1/2 the measure of the intercepted arc

Answer 1

(B)
`{(1)/(2)}` the difference of the intercepted arcs.

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
`{(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
`{(1)/(2)}` the difference of the intercepted arcs.

Hence, option B is correct.

Answer 2

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.