McDougal Littell Jurgensen Geometry: Student Edition Geometry
McDougal Littell Jurgensen Geometry: Student Edition Geometry
5th Edition
ISBN: 9780395977279
Author: Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Publisher: Houghton Mifflin Company College Division
bartleby

Concept explainers

bartleby

Videos

Question
Book Icon
Chapter 9.6, Problem 5WE
To determine

To find the measure of each numbers angle.

Expert Solution & Answer
Check Mark

Answer to Problem 5WE

  1=900,2=900,3=250,4=650,5=550,6=1250,7=350,8=600,9=900,10=600

Explanation of Solution

Given:

  BZ is a tangent to circle O ; AC is a diameter;

  mBC=90 ; mCD=30 ; mDE=20 .

  McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 9.6, Problem 5WE

Calculation:

Since mBC=90 ,

  1=900

  2=900 (Angle in a semicircle is 900 ).

Now, mEC=mCD+mED

  mEC=50

  3=250 (Angle at the center of a circle is twice the angle at the circumference.)

In ΔAEC ,

  3+2+4=1800 (Angle sum property of a triangle)

  4=650

  5=550

Now , 6+5=1800 (Linear Pair)

  6=1250

Now, 5=EFH=550 (Vertically opposite angles)

In ΔEFH ,

  EFH+FEH+7=1800 (Angle sum property of a triangle)

  7=350

Now in ΔCGF ,

  CGF+4+5=1800 (Angle sum property of a triangle)

  CGF=600

Now, 8=CGF (Vertically opposite angles are equal)

  8=600

  9=900 (A tangent to a circle is perpendicular to the radius through the point of contact).

  10=600

Conclusion:

Therefore, 1=900,2=900,3=250,4=650,5=550,6=1250,7=350,8=600,9=900,10=600.

Chapter 9 Solutions

McDougal Littell Jurgensen Geometry: Student Edition Geometry

Ch. 9.1 - Prob. 11CECh. 9.1 - Prob. 1WECh. 9.1 - Prob. 2WECh. 9.1 - Prob. 3WECh. 9.1 - Prob. 4WECh. 9.1 - Prob. 5WECh. 9.1 - Prob. 6WECh. 9.1 - Prob. 7WECh. 9.1 - Prob. 8WECh. 9.1 - Prob. 9WECh. 9.1 - Prob. 10WECh. 9.1 - Prob. 11WECh. 9.1 - Prob. 12WECh. 9.1 - Prob. 13WECh. 9.1 - Prob. 14WECh. 9.1 - Prob. 15WECh. 9.1 - Prob. 16WECh. 9.1 - Prob. 17WECh. 9.1 - Prob. 18WECh. 9.1 - Prob. 19WECh. 9.1 - Prob. 20WECh. 9.1 - Prob. 1ECh. 9.1 - Prob. 2ECh. 9.1 - Prob. 3ECh. 9.1 - Prob. 4ECh. 9.1 - Prob. 5ECh. 9.2 - Prob. 1CECh. 9.2 - Prob. 2CECh. 9.2 - Prob. 3CECh. 9.2 - Prob. 4CECh. 9.2 - Prob. 5CECh. 9.2 - Prob. 1WECh. 9.2 - Prob. 2WECh. 9.2 - Prob. 3WECh. 9.2 - Prob. 4WECh. 9.2 - Prob. 5WECh. 9.2 - Prob. 6WECh. 9.2 - Prob. 7WECh. 9.2 - Prob. 8WECh. 9.2 - Prob. 9WECh. 9.2 - Prob. 10WECh. 9.2 - Prob. 11WECh. 9.2 - Prob. 12WECh. 9.2 - Prob. 13WECh. 9.2 - Prob. 14WECh. 9.2 - Prob. 15WECh. 9.2 - Prob. 16WECh. 9.2 - Prob. 17WECh. 9.2 - Prob. 18WECh. 9.2 - Prob. 19WECh. 9.2 - Prob. 20WECh. 9.2 - Prob. 21WECh. 9.2 - Prob. 22WECh. 9.2 - Prob. 23WECh. 9.2 - Prob. 1MRECh. 9.2 - Prob. 2MRECh. 9.2 - Prob. 3MRECh. 9.3 - Prob. 1CECh. 9.3 - Prob. 2CECh. 9.3 - Prob. 3CECh. 9.3 - Prob. 4CECh. 9.3 - Prob. 5CECh. 9.3 - Prob. 6CECh. 9.3 - Prob. 7CECh. 9.3 - Prob. 8CECh. 9.3 - Prob. 9CECh. 9.3 - Prob. 10CECh. 9.3 - Prob. 11CECh. 9.3 - Prob. 12CECh. 9.3 - Prob. 13CECh. 9.3 - Prob. 1WECh. 9.3 - Prob. 2WECh. 9.3 - Prob. 3WECh. 9.3 - Prob. 4WECh. 9.3 - Prob. 5WECh. 9.3 - Prob. 6WECh. 9.3 - Prob. 7WECh. 9.3 - Prob. 8WECh. 9.3 - Prob. 9WECh. 9.3 - Prob. 10WECh. 9.3 - Prob. 11WECh. 9.3 - Prob. 12WECh. 9.3 - Prob. 13WECh. 9.3 - Prob. 14WECh. 9.3 - Prob. 15WECh. 9.3 - Prob. 16WECh. 9.3 - Prob. 17WECh. 9.3 - Prob. 18WECh. 9.3 - Prob. 19WECh. 9.3 - Prob. 20WECh. 9.3 - Prob. 21WECh. 9.3 - Prob. 22WECh. 9.3 - Prob. 23WECh. 9.3 - Prob. 24WECh. 9.4 - Prob. 1CECh. 9.4 - Prob. 2CECh. 9.4 - Prob. 3CECh. 9.4 - Prob. 4CECh. 9.4 - Prob. 5CECh. 9.4 - Prob. 6CECh. 9.4 - Prob. 7CECh. 9.4 - Prob. 1WECh. 9.4 - Prob. 2WECh. 9.4 - Prob. 3WECh. 9.4 - Prob. 4WECh. 9.4 - Prob. 5WECh. 9.4 - Prob. 6WECh. 9.4 - Prob. 7WECh. 9.4 - Prob. 8WECh. 9.4 - Prob. 9WECh. 9.4 - Prob. 10WECh. 9.4 - Prob. 11WECh. 9.4 - Prob. 12WECh. 9.4 - Prob. 13WECh. 9.4 - Prob. 14WECh. 9.4 - Prob. 15WECh. 9.4 - Prob. 16WECh. 9.4 - Prob. 17WECh. 9.4 - Prob. 18WECh. 9.4 - Prob. 19WECh. 9.4 - Prob. 20WECh. 9.4 - Prob. 21WECh. 9.4 - Prob. 22WECh. 9.4 - Prob. 23WECh. 9.4 - Prob. 24WECh. 9.4 - Prob. 25WECh. 9.4 - Prob. 26WECh. 9.4 - Prob. 27WECh. 9.4 - Prob. 1ST1Ch. 9.4 - Prob. 2ST1Ch. 9.4 - Prob. 3ST1Ch. 9.4 - Prob. 4ST1Ch. 9.4 - Prob. 5ST1Ch. 9.4 - Prob. 6ST1Ch. 9.5 - Prob. 1CECh. 9.5 - Prob. 2CECh. 9.5 - Prob. 3CECh. 9.5 - Prob. 4CECh. 9.5 - Prob. 5CECh. 9.5 - Prob. 6CECh. 9.5 - Prob. 7CECh. 9.5 - Prob. 8CECh. 9.5 - Prob. 9CECh. 9.5 - Prob. 10CECh. 9.5 - Prob. 11CECh. 9.5 - Prob. 12CECh. 9.5 - Prob. 13CECh. 9.5 - Prob. 14CECh. 9.5 - Prob. 1WECh. 9.5 - Prob. 2WECh. 9.5 - Prob. 3WECh. 9.5 - Prob. 4WECh. 9.5 - Prob. 5WECh. 9.5 - Prob. 6WECh. 9.5 - Prob. 7WECh. 9.5 - Prob. 8WECh. 9.5 - Prob. 9WECh. 9.5 - Prob. 10WECh. 9.5 - Prob. 11WECh. 9.5 - Prob. 12WECh. 9.5 - Prob. 13WECh. 9.5 - Prob. 14WECh. 9.5 - Prob. 15WECh. 9.5 - Prob. 16WECh. 9.5 - Prob. 17WECh. 9.5 - Prob. 18WECh. 9.5 - Prob. 19WECh. 9.5 - Prob. 20WECh. 9.5 - Prob. 21WECh. 9.5 - Prob. 22WECh. 9.5 - Prob. 23WECh. 9.5 - Prob. 24WECh. 9.5 - Prob. 25WECh. 9.5 - Prob. 26WECh. 9.5 - Prob. 27WECh. 9.5 - Prob. 28WECh. 9.5 - Prob. 29WECh. 9.5 - Prob. 1MRECh. 9.5 - Prob. 2MRECh. 9.5 - Prob. 3MRECh. 9.5 - Prob. 4MRECh. 9.5 - Prob. 5MRECh. 9.5 - Prob. 6MRECh. 9.6 - Prob. 1CECh. 9.6 - Prob. 2CECh. 9.6 - Prob. 3CECh. 9.6 - Prob. 4CECh. 9.6 - Prob. 5CECh. 9.6 - Prob. 6CECh. 9.6 - Prob. 7CECh. 9.6 - Prob. 8CECh. 9.6 - Prob. 9CECh. 9.6 - Prob. 10CECh. 9.6 - Prob. 1WECh. 9.6 - Prob. 2WECh. 9.6 - Prob. 3WECh. 9.6 - Prob. 4WECh. 9.6 - Prob. 5WECh. 9.6 - Prob. 6WECh. 9.6 - Prob. 7WECh. 9.6 - Prob. 8WECh. 9.6 - Prob. 9WECh. 9.6 - Prob. 10WECh. 9.6 - Prob. 11WECh. 9.6 - Prob. 12WECh. 9.6 - Prob. 13WECh. 9.6 - Prob. 14WECh. 9.6 - Prob. 15WECh. 9.6 - Prob. 16WECh. 9.6 - Prob. 17WECh. 9.6 - Prob. 18WECh. 9.6 - Prob. 19WECh. 9.6 - Prob. 20WECh. 9.6 - Prob. 21WECh. 9.6 - Prob. 22WECh. 9.6 - Prob. 23WECh. 9.6 - Prob. 24WECh. 9.6 - Prob. 25WECh. 9.6 - Prob. 26WECh. 9.6 - Prob. 27WECh. 9.6 - Prob. 28WECh. 9.6 - Prob. 29WECh. 9.6 - Prob. 30WECh. 9.6 - Prob. 31WECh. 9.6 - Prob. 32WECh. 9.6 - Prob. 1EXCh. 9.6 - Prob. 2EXCh. 9.6 - Prob. 3EXCh. 9.7 - Prob. 1CECh. 9.7 - Prob. 2CECh. 9.7 - Prob. 3CECh. 9.7 - Prob. 4CECh. 9.7 - Prob. 5CECh. 9.7 - Prob. 6CECh. 9.7 - Prob. 7CECh. 9.7 - Prob. 1WECh. 9.7 - Prob. 2WECh. 9.7 - Prob. 3WECh. 9.7 - Prob. 4WECh. 9.7 - Prob. 5WECh. 9.7 - Prob. 6WECh. 9.7 - Prob. 7WECh. 9.7 - Prob. 8WECh. 9.7 - Prob. 9WECh. 9.7 - Prob. 10WECh. 9.7 - Prob. 11WECh. 9.7 - Prob. 12WECh. 9.7 - Prob. 13WECh. 9.7 - Prob. 14WECh. 9.7 - Prob. 15WECh. 9.7 - Prob. 16WECh. 9.7 - Prob. 17WECh. 9.7 - Prob. 18WECh. 9.7 - Prob. 19WECh. 9.7 - Prob. 20WECh. 9.7 - Prob. 21WECh. 9.7 - Prob. 22WECh. 9.7 - Prob. 23WECh. 9.7 - Prob. 24WECh. 9.7 - Prob. 25WECh. 9.7 - Prob. 26WECh. 9.7 - Prob. 27WECh. 9.7 - Prob. 28WECh. 9.7 - Prob. 1ST2Ch. 9.7 - Prob. 2ST2Ch. 9.7 - Prob. 3ST2Ch. 9.7 - Prob. 4ST2Ch. 9.7 - Prob. 5ST2Ch. 9.7 - Prob. 6ST2Ch. 9.7 - Prob. 7ST2Ch. 9.7 - Prob. 8ST2Ch. 9.7 - Prob. 1ECh. 9.7 - Prob. 2ECh. 9.7 - Prob. 3ECh. 9.7 - Prob. 4ECh. 9.7 - Prob. 5ECh. 9 - Prob. 1CRCh. 9 - Prob. 2CRCh. 9 - Prob. 3CRCh. 9 - Prob. 4CRCh. 9 - Prob. 5CRCh. 9 - Prob. 6CRCh. 9 - Prob. 7CRCh. 9 - Prob. 8CRCh. 9 - Prob. 9CRCh. 9 - Prob. 10CRCh. 9 - Prob. 11CRCh. 9 - Prob. 12CRCh. 9 - Prob. 13CRCh. 9 - Prob. 14CRCh. 9 - Prob. 15CRCh. 9 - Prob. 16CRCh. 9 - Prob. 17CRCh. 9 - Prob. 18CRCh. 9 - Prob. 19CRCh. 9 - Prob. 20CRCh. 9 - Prob. 21CRCh. 9 - Prob. 22CRCh. 9 - Prob. 23CRCh. 9 - Prob. 24CRCh. 9 - Prob. 1CTCh. 9 - Prob. 2CTCh. 9 - Prob. 3CTCh. 9 - Prob. 4CTCh. 9 - Prob. 5CTCh. 9 - Prob. 6CTCh. 9 - Prob. 7CTCh. 9 - Prob. 8CTCh. 9 - Prob. 9CTCh. 9 - Prob. 10CTCh. 9 - Prob. 11CTCh. 9 - Prob. 12CTCh. 9 - Prob. 13CTCh. 9 - Prob. 14CTCh. 9 - Prob. 15CTCh. 9 - Prob. 16CTCh. 9 - Prob. 17CTCh. 9 - Prob. 18CTCh. 9 - Prob. 1CURCh. 9 - Prob. 2CURCh. 9 - Prob. 3CURCh. 9 - Prob. 4CURCh. 9 - Prob. 5CURCh. 9 - Prob. 6CURCh. 9 - Prob. 7CURCh. 9 - Prob. 8CURCh. 9 - Prob. 9CURCh. 9 - Prob. 10CURCh. 9 - Prob. 11CURCh. 9 - Prob. 12CURCh. 9 - Prob. 13CURCh. 9 - Prob. 14CURCh. 9 - Prob. 15CURCh. 9 - Prob. 16CURCh. 9 - Prob. 17CURCh. 9 - Prob. 18CURCh. 9 - Prob. 19CURCh. 9 - Prob. 20CURCh. 9 - Prob. 21CURCh. 9 - Prob. 22CURCh. 9 - Prob. 23CURCh. 9 - Prob. 24CURCh. 9 - Prob. 25CURCh. 9 - Prob. 26CURCh. 9 - Prob. 27CURCh. 9 - Prob. 28CURCh. 9 - Prob. 29CURCh. 9 - Prob. 30CUR
Knowledge Booster
Background pattern image
Geometry
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Text book image
Elementary Geometry For College Students, 7e
Geometry
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Cengage,
Text book image
Elementary Geometry for College Students
Geometry
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Cengage Learning
Finding the length of an arc; Author: Maths Genie;https://www.youtube.com/watch?v=fWGPf5peCc8;License: Standard YouTube License, CC-BY
Circles, Angle Measures, Arcs, Central & Inscribed Angles, Tangents, Secants & Chords - Geometry; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=nd46bA9DKE0;License: Standard Youtube License