Answered

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The measure of an angle formed by intersecting chords is _____ of the measures of the intercepted arcs.

A. equal to
B. half
C. twice

Fill in the blank and select the correct option.

Sagot :

GinnyAnswer
To solve the problem, we need to understand the relationship between the angle formed by intersecting chords and the intercepted arcs.

When two chords intersect inside a circle, they form an angle. The measure of this angle is related to the measures of the arcs intercepted by these chords. Specifically, the measure of such an angle is half the sum of the measures of the intercepted arcs.

To summarize:

1. Identify the two arcs intercepted by the intersecting chords.
2. Calculate the sum of the measures of these arcs.
3. The measure of the angle formed by the intersecting chords is half of this sum.

Therefore, the correct answer to the question "The measure of an angle formed by intersecting chords is ___ of the measures of the intercepted arcs" is:

B. half

This aligns with the mathematical property of intersecting chords in a circle.
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