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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Chapter 10.7, Problem 6PSA

a.

To determine

Find mPQ .

a.

Expert Solution
Check Mark

Answer to Problem 6PSA

  mPQ=72°

Explanation of Solution

Given information:

  Geometry For Enjoyment And Challenge, Chapter 10.7, Problem 6PSA , additional homework tip  1

  PQRST is regular pentagon and ABCDEF is regular hexagon.

Calculation:

  PQRST is regular pentagon

All the sides of pentagon are congruent and the chords of circumscribed circles are congruent and circle arc is 360° .

  mPQ=360°5=72°

Hence, mPQ=72°

b.

To determine

Find mRT .

b.

Expert Solution
Check Mark

Answer to Problem 6PSA

  mRT=144°

Explanation of Solution

Given information:

  Geometry For Enjoyment And Challenge, Chapter 10.7, Problem 6PSA , additional homework tip  2

  PQRST is regular pentagon and ABCDEF is regular hexagon.

Calculation:

  PQRST is regular pentagon

All the sides of pentagon are congruent and the chords of circumscribed circles are congruent and circle arc is 360° .

  mPQ=360°5=72°

  mRT=mRS+mSTmRT=2(72°)=144°

Hence, mRT=144°

c.

To determine

Find mAB .

c.

Expert Solution
Check Mark

Answer to Problem 6PSA

  mAB=60°

Explanation of Solution

Given information:

  Geometry For Enjoyment And Challenge, Chapter 10.7, Problem 6PSA , additional homework tip  3

  PQRST is regular pentagon and ABCDEF is regular hexagon.

Calculation:

  PQRST is regular pentagon

All the sides of polygon are congruent and the chords of circumscribed circles are congruent and circle arc is 360° .

  mAB=360°6=60°

Hence, mAB=60° .

d.

To determine

Find mBD .

d.

Expert Solution
Check Mark

Answer to Problem 6PSA

  mBD=120°

Explanation of Solution

Given information:

  Geometry For Enjoyment And Challenge, Chapter 10.7, Problem 6PSA , additional homework tip  4

  PQRST is regular pentagon and ABCDEF is regular hexagon.

Calculation:

  PQRST is regular pentagon

All the sides of polygon are congruent and the chords of circumscribed circles are congruent and circle arc is 360° .

  mAB=360°6=60°

Arc BD is a sum of two arcs,

  mBD=mBC+mCD=(2)60°mBD=120°

Hence, mBD=120° .

e.

To determine

Find mDEA .

e.

Expert Solution
Check Mark

Answer to Problem 6PSA

  mDEA=180°

Explanation of Solution

Given information:

  Geometry For Enjoyment And Challenge, Chapter 10.7, Problem 6PSA , additional homework tip  5

  PQRST is regular pentagon and ABCDEF is regular hexagon.

Calculation:

  PQRST is regular pentagon

All the sides of polygon are congruent and the chords of circumscribed circles are congruent and circle arc is 360° .

  mAB=360°6=60°

Arc mDEA is a sum of three arcs,

  mDEA=mDE+mEF+mFA=(3)60°mDEA=180°

Hence, mDEA=180° .

Chapter 10 Solutions

Geometry For Enjoyment And Challenge

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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