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A 00 B 110°

A 00 B 110°

Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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The image displays a circle with a central angle and an inscribed angle. Here is a detailed description: - The circle has a central point where two radii intersect, forming a central angle marked as 110°. - A line extends from point A to B, forming a chord. - An inscribed angle, ∠AXB, is formed with vertex A on the circumference. - This inscribed angle is labeled with a variable, \( x^\circ \). **Explanation of the Diagram:** 1. **Central Angle (∠AOB):** The angle subtended at the center, marked as 110°. 2. **Chord AB:** A straight line connecting two points on the circle's circumference. 3. **Inscribed Angle (∠AXB):** This angle is subtended by the same chord AB but with its vertex at point A on the circle's circumference. **Key Concept:** - The inscribed angle (x) is half the central angle when both angles subtend the same arc. Therefore, \( x = \frac{110^\circ}{2} = 55^\circ \).
Transcribed Image Text:The image displays a circle with a central angle and an inscribed angle. Here is a detailed description: - The circle has a central point where two radii intersect, forming a central angle marked as 110°. - A line extends from point A to B, forming a chord. - An inscribed angle, ∠AXB, is formed with vertex A on the circumference. - This inscribed angle is labeled with a variable, \( x^\circ \). **Explanation of the Diagram:** 1. **Central Angle (∠AOB):** The angle subtended at the center, marked as 110°. 2. **Chord AB:** A straight line connecting two points on the circle's circumference. 3. **Inscribed Angle (∠AXB):** This angle is subtended by the same chord AB but with its vertex at point A on the circle's circumference. **Key Concept:** - The inscribed angle (x) is half the central angle when both angles subtend the same arc. Therefore, \( x = \frac{110^\circ}{2} = 55^\circ \).
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