#4r le 13. If JH = 21 in, fnd the length of KJG. G L 59° 85 H

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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**Problem 13:** If \( JH = 21 \, \text{in} \), find the length of \( KJG \).

**Diagram Explanation:**

A circle is divided into segments from the center point \( L \). The circle is segmented into the following pieces:
- Arc \( KG \) with central angle of \( 59^\circ \).
- Arc \( JI \) with central angle of \( 85^\circ \).

Other points on the circle are labeled \( K, G, H, J, \) and \( I \).

To solve for the length of \( KJG \), note:
1. \( KJG \) refers to the arc starting at \( K \), passing through \( J \), and ending at \( G \).
2. You need to determine the total angle \( \angle KLG \) by considering complementary angles that sum up to \( 360^\circ \).

Using this information, calculate the arc length using the appropriate formulas or relationships from geometry involving the proportion of \( 360^\circ \).
Transcribed Image Text:**Problem 13:** If \( JH = 21 \, \text{in} \), find the length of \( KJG \). **Diagram Explanation:** A circle is divided into segments from the center point \( L \). The circle is segmented into the following pieces: - Arc \( KG \) with central angle of \( 59^\circ \). - Arc \( JI \) with central angle of \( 85^\circ \). Other points on the circle are labeled \( K, G, H, J, \) and \( I \). To solve for the length of \( KJG \), note: 1. \( KJG \) refers to the arc starting at \( K \), passing through \( J \), and ending at \( G \). 2. You need to determine the total angle \( \angle KLG \) by considering complementary angles that sum up to \( 360^\circ \). Using this information, calculate the arc length using the appropriate formulas or relationships from geometry involving the proportion of \( 360^\circ \).
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