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
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Chapter 10, Problem 12CUR
To determine

To complete: the blank in the given statement.

Expert Solution & Answer
Check Mark

Answer to Problem 12CUR

  39°

Explanation of Solution

Given information:

The given figure is as follows:

  McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 10, Problem 12CUR

The given statement is “If the measure of the arcs AB⌢=80,CD⌢=66,DA⌢=70 , then m∠R=            _ ”.

The total angle of circle =360°

Thus,

  AB⌢+BC⌢+CD⌢+DA⌢=36080+BC⌢+66+70=360BC⌢=144

If a tangent and a secant intersect in the exterior of the circle, the angle formed is half the difference of the angle measures of the interpreted arcs.

Thus,

  m∠R=BC⌢−CD⌢2=144−662=39

Hence, m∠R=39°

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Chapter 10, Problem 11CUR
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Chapter 10, Problem 13CUR

Chapter 10 Solutions

McDougal Littell Jurgensen Geometry: Student Edition Geometry

Ch. 10.1 - Prob. 1CECh. 10.1 - Prob. 2CECh. 10.1 - Prob. 3CECh. 10.1 - Prob. 4CECh. 10.1 - Prob. 5CECh. 10.1 - Prob. 6CECh. 10.1 - Prob. 1WECh. 10.1 - Prob. 2WECh. 10.1 - Prob. 3WECh. 10.1 - Prob. 4WE
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