The measure of an angle formed by two secants intersecting outside a circle equals to: a) 1/2 The...

Question:

The measure of an angle formed by two secants intersecting outside a circle equals to:

a) {eq}\frac{1}{2} {/eq} The sum of the intercepted arcs.

b) {eq}\frac{1}{2} {/eq} The difference of the intercepted arcs.

c) {eq}\frac{1}{2} {/eq} The measure of the intercepted arc.

Secant:

The term secant comes from the Latin secare which means to cut. A secant line intersects the circle at exactly two points and divides the circle into intercepted arcs. The larger arc is called the major arc and the smaller arc is the minor arc. If the secant passes through the center, then the two arcs are of equal measure.

Answer and Explanation: 1

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The answer is b) {eq}\mathbf{\frac{1}{2}} {/eq} The difference of the intercepted arcs.

Given two secants {eq}\overline{AE} \text{ and }...

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Measurements of Angles Involving Tangents, Chords & Secants

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Chapter 9 / Lesson 7
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An angle refers to the space that is created when two lines intersect or meet. Learn how to calculate measurements about angles that are created by tangents, chords, and secants in a circle, including two chords, tangent and chord, two tangent lines, tangent and secant, and two secant lines.


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