Homework Help is Here – Start Your Trial Now!
Math
Geometry
Find the measure of arc PJ. L 82 ° 78 ° K

Find the measure of arc PJ. L 82 ° 78 ° K

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 26E
See similar textbooks
icon
Related questions
Question
**Geometry Problem: Finding the Measure of an Arc** **Problem Statement:** Find the measure of arc \( PJ \). **Graph Description:** A circle is presented with four points on its circumference labeled as \( P \), \( L \), \( K \), and \( J \). A central point, marked as \( M \), is connected to the points on the circumference with lines forming angles at \( M \). **Detailed Angles Provided:** - Intersection at point \( M \) right between \( L \) and \( M \) is an angle of \( 78^\circ \). - Intersection at point \( M \) right between \( K \) and \( M \) is an angle of \( 82^\circ \). The task is to find the measure of the arc \( PJ \), which is drawn connecting points \( P \) and \( J \) along the circle's circumference. **How to Solve:** 1. Determine the total measure of the circle which is \( 360^\circ \). 2. Subtract the sum of the given angles from \( 360^\circ \): - The sum of the given angles: \( 78^\circ + 82^\circ = 160^\circ \). - Total remaining degrees: \( 360^\circ - 160^\circ = 200^\circ \). Therefore, the measure of arc \( PJ \) is \( 200^\circ \). **Conclusion:** The measure of arc \( PJ \) is \( 200^\circ \). **Navigation Options:** Use the 'Previous' button to revisit prior problems, or select any of the numbers from 1 to 12 to navigate to specific questions within the series. This will help in reviewing or skipping to different parts of the problem set according to necessity.
Transcribed Image Text:**Geometry Problem: Finding the Measure of an Arc** **Problem Statement:** Find the measure of arc \( PJ \). **Graph Description:** A circle is presented with four points on its circumference labeled as \( P \), \( L \), \( K \), and \( J \). A central point, marked as \( M \), is connected to the points on the circumference with lines forming angles at \( M \). **Detailed Angles Provided:** - Intersection at point \( M \) right between \( L \) and \( M \) is an angle of \( 78^\circ \). - Intersection at point \( M \) right between \( K \) and \( M \) is an angle of \( 82^\circ \). The task is to find the measure of the arc \( PJ \), which is drawn connecting points \( P \) and \( J \) along the circle's circumference. **How to Solve:** 1. Determine the total measure of the circle which is \( 360^\circ \). 2. Subtract the sum of the given angles from \( 360^\circ \): - The sum of the given angles: \( 78^\circ + 82^\circ = 160^\circ \). - Total remaining degrees: \( 360^\circ - 160^\circ = 200^\circ \). Therefore, the measure of arc \( PJ \) is \( 200^\circ \). **Conclusion:** The measure of arc \( PJ \) is \( 200^\circ \). **Navigation Options:** Use the 'Previous' button to revisit prior problems, or select any of the numbers from 1 to 12 to navigate to specific questions within the series. This will help in reviewing or skipping to different parts of the problem set according to necessity.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
SEE MORE TEXTBOOKS