The measure of an angle formed by two secants intersecting inside the circle equals
a.½ the sum of the intercepted arcs
b.½ the difference of the intercepted arcs
c.½ the measure of the intercepted arc
I need help please!
http://www.cut-the-knot.org/Curriculum/Geometry/SecantAngle.shtml
Inside --> half the sum
The measure of an angle formed by two secants intersecting inside the circle is equal to option a, which is ½ the sum of the intercepted arcs.
To find the measure of an angle formed by two secants intersecting inside a circle, you can use the Intersecting Secants Theorem. According to this theorem, the measure of the angle is equal to half the difference of the intercepted arcs.
To understand this concept, let's break it down step by step:
Step 1: Identify the intercepted arcs.
The intercepted arcs are the arcs of the circle that are cut off by the intersecting secants.
Step 2: Find the measures of the intercepted arcs.
Use the given information or properties of the circle to determine the measures of the intercepted arcs.
Step 3: Calculate the difference between the intercepted arcs.
Find the numerical difference (in degrees) between the measures of the intercepted arcs. This can be done by subtracting one arc measure from the other.
Step 4: Divide the difference by 2.
Finally, divide the difference you calculated in Step 3 by 2 to find the measure of the angle formed by the two intersecting secants inside the circle. This will give you the correct answer.
Therefore, the correct answer to your question is b. ½ the difference of the intercepted arcs.