Geometry For Enjoyment And Challenge
Geometry For Enjoyment And Challenge
91st Edition
ISBN: 9780866099653
Author: Richard Rhoad, George Milauskas, Robert Whipple
Publisher: McDougal Littell
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Angles
In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which…
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Chapter 10.5, Problem 24PSB
To determine

To Find : AE⌢ and  BD⌢

Expert Solution & Answer
Check Mark

Answer to Problem 24PSB

104°  and  74°

Explanation of Solution

Given information :

1) ∠AFE=89°

2) ∠C=15°

Formula Used:

1) The angle between two chords is equal to half the sum of the intercepted arcs.

2) The angle between two seconds is equal to half the difference of the enclosed areas.

  12(AE⌢+BD⌢)=∠AFE12(AE⌢+BD⌢)=89°   AE⌢+BE⌢=178°                .......(1)and  12(AE⌢−BD⌢)=∠C        12(AE⌢−BD⌢)=15°                AE⌢−BD⌢=30°                   ......(2)

Solving (1) and (2)

  AE⌢=104°BD⌢=74°

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Chapter 10.5, Problem 23PSB
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Chapter 10.5, Problem 25PSB

Chapter 10 Solutions

Geometry For Enjoyment And Challenge

Ch. 10.1 - Prob. 1PSACh. 10.1 - Prob. 2PSACh. 10.1 - Prob. 3PSACh. 10.1 - Prob. 4PSACh. 10.1 - Prob. 5PSACh. 10.1 - Prob. 6PSACh. 10.1 - Prob. 7PSACh. 10.1 - Prob. 8PSACh. 10.1 - Prob. 9PSACh. 10.1 - Prob. 10PSB
Ch. 10.1 - Prob. 11PSBCh. 10.1 - Prob. 12PSBCh. 10.1 - Prob. 13PSBCh. 10.1 - Prob. 14PSBCh. 10.1 - Prob. 15PSBCh. 10.1 - Prob. 16PSBCh. 10.1 - Prob. 17PSBCh. 10.1 - Prob. 18PSBCh. 10.1 - Prob. 19PSCCh. 10.1 - Prob. 20PSCCh. 10.1 - Prob. 21PSCCh. 10.1 - Prob. 22PSCCh. 10.1 - Prob. 23PSCCh. 10.1 - Prob. 24PSCCh. 10.1 - Prob. 25PSCCh. 10.2 - Prob. 1PSACh. 10.2 - Prob. 2PSACh. 10.2 - Prob. 3PSACh. 10.2 - Prob. 4PSACh. 10.2 - Prob. 5PSACh. 10.2 - Prob. 6PSACh. 10.2 - Prob. 7PSBCh. 10.2 - Prob. 8PSBCh. 10.2 - Prob. 9PSBCh. 10.2 - Prob. 10PSBCh. 10.2 - Prob. 11PSBCh. 10.2 - Prob. 12PSBCh. 10.2 - Prob. 13PSBCh. 10.2 - Prob. 14PSCCh. 10.2 - Prob. 15PSCCh. 10.2 - Prob. 16PSCCh. 10.3 - Prob. 1PSACh. 10.3 - Prob. 2PSACh. 10.3 - Prob. 3PSACh. 10.3 - Prob. 4PSACh. 10.3 - Prob. 5PSACh. 10.3 - Prob. 6PSACh. 10.3 - Prob. 7PSACh. 10.3 - Prob. 8PSACh. 10.3 - Prob. 9PSACh. 10.3 - Prob. 10PSACh. 10.3 - Prob. 11PSBCh. 10.3 - Prob. 12PSBCh. 10.3 - Prob. 13PSBCh. 10.3 - Prob. 14PSBCh. 10.3 - Prob. 15PSBCh. 10.3 - Prob. 16PSBCh. 10.3 - Prob. 17PSBCh. 10.3 - Prob. 18PSBCh. 10.3 - Prob. 19PSBCh. 10.3 - Prob. 20PSBCh. 10.3 - Prob. 21PSCCh. 10.3 - Prob. 22PSCCh. 10.4 - Prob. 1PSACh. 10.4 - Prob. 2PSACh. 10.4 - Prob. 3PSACh. 10.4 - Prob. 4PSACh. 10.4 - Prob. 5PSACh. 10.4 - Prob. 6PSACh. 10.4 - Prob. 7PSACh. 10.4 - Prob. 8PSACh. 10.4 - Prob. 9PSACh. 10.4 - Prob. 10PSBCh. 10.4 - Prob. 11PSBCh. 10.4 - Prob. 12PSBCh. 10.4 - Prob. 13PSBCh. 10.4 - Prob. 14PSBCh. 10.4 - Prob. 15PSBCh. 10.4 - Prob. 16PSBCh. 10.4 - Prob. 17PSBCh. 10.4 - Prob. 18PSBCh. 10.4 - Prob. 19PSBCh. 10.4 - Prob. 20PSBCh. 10.4 - Prob. 21PSCCh. 10.4 - Prob. 22PSCCh. 10.4 - Prob. 23PSCCh. 10.4 - Prob. 24PSCCh. 10.4 - Prob. 25PSCCh. 10.4 - Prob. 26PSCCh. 10.4 - Prob. 27PSCCh. 10.4 - Prob. 28PSCCh. 10.4 - Prob. 29PSCCh. 10.5 - Prob. 1PSACh. 10.5 - Prob. 2PSACh. 10.5 - Prob. 3PSACh. 10.5 - Prob. 4PSACh. 10.5 - Prob. 5PSACh. 10.5 - Prob. 6PSACh. 10.5 - Prob. 7PSACh. 10.5 - Prob. 8PSACh. 10.5 - Prob. 9PSACh. 10.5 - Prob. 10PSACh. 10.5 - Prob. 11PSACh. 10.5 - Prob. 12PSACh. 10.5 - Prob. 13PSACh. 10.5 - Prob. 14PSACh. 10.5 - Prob. 15PSACh. 10.5 - Prob. 16PSACh. 10.5 - Prob. 17PSACh. 10.5 - Prob. 18PSBCh. 10.5 - Prob. 19PSBCh. 10.5 - Prob. 20PSBCh. 10.5 - Prob. 21PSBCh. 10.5 - Prob. 22PSBCh. 10.5 - Prob. 23PSBCh. 10.5 - Prob. 24PSBCh. 10.5 - Prob. 25PSBCh. 10.5 - Prob. 26PSBCh. 10.5 - Prob. 27PSBCh. 10.5 - Prob. 28PSBCh. 10.5 - Prob. 29PSBCh. 10.5 - Prob. 30PSBCh. 10.5 - Prob. 31PSCCh. 10.5 - Prob. 32PSCCh. 10.5 - Prob. 33PSCCh. 10.5 - Prob. 34PSCCh. 10.5 - Prob. 35PSCCh. 10.5 - Prob. 36PSCCh. 10.6 - Prob. 1PSACh. 10.6 - Prob. 2PSACh. 10.6 - Prob. 3PSACh. 10.6 - Prob. 4PSACh. 10.6 - Prob. 5PSACh. 10.6 - Prob. 6PSACh. 10.6 - Prob. 7PSACh. 10.6 - Prob. 8PSACh. 10.6 - Prob. 9PSACh. 10.6 - Prob. 10PSACh. 10.6 - Prob. 11PSACh. 10.6 - Prob. 12PSACh. 10.6 - Prob. 13PSBCh. 10.6 - Prob. 14PSBCh. 10.6 - Prob. 15PSBCh. 10.6 - Prob. 16PSBCh. 10.6 - Prob. 17PSBCh. 10.6 - Prob. 18PSBCh. 10.6 - Prob. 19PSBCh. 10.6 - Prob. 20PSBCh. 10.6 - Prob. 21PSBCh. 10.6 - Prob. 22PSCCh. 10.6 - Prob. 23PSCCh. 10.6 - Prob. 24PSCCh. 10.6 - Prob. 25PSCCh. 10.6 - Prob. 26PSCCh. 10.6 - Prob. 27PSCCh. 10.6 - Prob. 28PSCCh. 10.7 - Prob. 1PSACh. 10.7 - Prob. 2PSACh. 10.7 - Prob. 3PSACh. 10.7 - Prob. 4PSACh. 10.7 - Prob. 5PSACh. 10.7 - Prob. 6PSACh. 10.7 - Prob. 7PSACh. 10.7 - Prob. 8PSACh. 10.7 - Prob. 9PSBCh. 10.7 - Prob. 10PSBCh. 10.7 - Prob. 11PSBCh. 10.7 - Prob. 12PSBCh. 10.7 - Prob. 13PSBCh. 10.7 - Prob. 14PSBCh. 10.7 - Prob. 15PSBCh. 10.7 - Prob. 16PSBCh. 10.7 - Prob. 17PSBCh. 10.7 - Prob. 18PSBCh. 10.7 - Prob. 19PSBCh. 10.7 - Prob. 20PSBCh. 10.7 - Prob. 21PSCCh. 10.7 - Prob. 22PSCCh. 10.7 - Prob. 23PSCCh. 10.7 - Prob. 24PSCCh. 10.7 - Prob. 25PSCCh. 10.7 - Prob. 26PSCCh. 10.7 - Prob. 27PSCCh. 10.8 - Prob. 1PSACh. 10.8 - Prob. 2PSACh. 10.8 - Prob. 3PSACh. 10.8 - Prob. 4PSACh. 10.8 - Prob. 5PSACh. 10.8 - Prob. 6PSACh. 10.8 - Prob. 7PSACh. 10.8 - Prob. 8PSBCh. 10.8 - Prob. 9PSBCh. 10.8 - Prob. 10PSBCh. 10.8 - Prob. 11PSBCh. 10.8 - Prob. 12PSBCh. 10.8 - Prob. 13PSBCh. 10.8 - Prob. 14PSBCh. 10.8 - Prob. 15PSBCh. 10.8 - Prob. 16PSBCh. 10.8 - Prob. 17PSCCh. 10.8 - Prob. 18PSCCh. 10.8 - Prob. 19PSCCh. 10.8 - Prob. 20PSCCh. 10.9 - Prob. 1PSACh. 10.9 - Prob. 2PSACh. 10.9 - Prob. 3PSACh. 10.9 - Prob. 4PSACh. 10.9 - Prob. 5PSACh. 10.9 - Prob. 6PSACh. 10.9 - Prob. 7PSACh. 10.9 - Prob. 8PSACh. 10.9 - Prob. 9PSBCh. 10.9 - Prob. 10PSBCh. 10.9 - Prob. 11PSBCh. 10.9 - Prob. 12PSBCh. 10.9 - Prob. 13PSBCh. 10.9 - Prob. 14PSBCh. 10.9 - Prob. 15PSBCh. 10.9 - Prob. 16PSCCh. 10.9 - Prob. 17PSCCh. 10 - Prob. 1RPCh. 10 - Prob. 2RPCh. 10 - Prob. 3RPCh. 10 - Prob. 4RPCh. 10 - Prob. 5RPCh. 10 - Prob. 6RPCh. 10 - Prob. 7RPCh. 10 - Prob. 8RPCh. 10 - Prob. 9RPCh. 10 - Prob. 10RPCh. 10 - Prob. 11RPCh. 10 - Prob. 12RPCh. 10 - Prob. 13RPCh. 10 - Prob. 14RPCh. 10 - Prob. 15RPCh. 10 - Prob. 16RPCh. 10 - Prob. 17RPCh. 10 - Prob. 18RPCh. 10 - Prob. 19RPCh. 10 - Prob. 20RPCh. 10 - Prob. 21RPCh. 10 - Prob. 22RPCh. 10 - Prob. 23RPCh. 10 - Prob. 24RPCh. 10 - Prob. 25RPCh. 10 - Prob. 26RPCh. 10 - Prob. 27RPCh. 10 - Prob. 28RPCh. 10 - Prob. 29RPCh. 10 - Prob. 30RPCh. 10 - Prob. 31RP

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