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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Expert Solution & Answer
Chapter 7.3, Problem 1PSA
Solution

a.

The sum of the measures of the angles of quadrilateral.

The sum of the measures of the angles of quadrilateral is 360

Given: Quadrilateral

Concept used: Here, we are using the formula:

Sum of the angles = 180(n2)

Calculation: Here, the formula is 180(n2)

By putting the value of n = 4 in the given formula, we get

180(42)

360

Conclusion: Hence, the sum of the measures of the angles of quadrilateral is 360

b.

The sum of the measures of the angles of a heptagon

The sum of the measures of the angles of heptagon is 900

Given: Heptagon

Concept used: Here, we are using the formula:

Sum of the angles = 180(n2)

Calculation: Here, the formula is 180(n2)

By putting the value of n = 7 in the given formula, we get

900

Conclusion: Hence, the sum of the measures of the angles of heptagon is 900

c.

The sum of the measures of the angles of an octagon.

The sum of the measures of the angles of octagon is 1080

Given: Octagon

Concept used: Here, we are using the formula:

Sum of the angles = 180(n2)

Calculation: Here, the formula is 180(n2)

By putting the value of n = 8 in the given formula, we get

180(82)

1080

Conclusion: Hence, the sum of the measures of the angles of octagon is 1080

d.

The sum of the measures of the angles of a dodecagon.

The sum of the measures of the angles of dodecagon is 1800

Given: Dodecagon

Concept used: Here, we are using the formula:

Sum of the angles = 180(n2)

Calculation: Here, the formula is 180(n2)

By putting the value of n = 12 in the given formula, we get

180(122)

1800

Conclusion: Hence, the sum of the measures of the angles of dodecagon is 1800

e.

The sum of the measures of the angles of a- 93 gon

The sum of the measures of the angles of a- 93 gon is 16380

Given: A- 93 gon

Concept used: Here, we are using the formula:

Sum of the angles = 180(n2)

Calculation: Here, the formula is 180(n2)

By putting the value of n = 93 in the given formula, we get

180(932)

16380

Conclusion: Hence, the sum of the measures of the angles of a- 93 gon is 16380

Chapter 7 Solutions

Geometry For Enjoyment And Challenge

Ch. 7.1 - Prob. 11PSACh. 7.1 - Prob. 12PSBCh. 7.1 - Prob. 13PSBCh. 7.1 - Prob. 14PSBCh. 7.1 - Prob. 15PSBCh. 7.1 - Prob. 16PSBCh. 7.1 - Prob. 17PSBCh. 7.1 - Prob. 18PSBCh. 7.1 - Prob. 19PSCCh. 7.1 - Prob. 20PSCCh. 7.1 - Prob. 21PSCCh. 7.1 - Prob. 22PSCCh. 7.1 - Prob. 23PSCCh. 7.2 - Prob. 1PSACh. 7.2 - Prob. 2PSACh. 7.2 - Prob. 3PSACh. 7.2 - Prob. 4PSACh. 7.2 - Prob. 5PSACh. 7.2 - Prob. 6PSACh. 7.2 - Prob. 7PSACh. 7.2 - Prob. 8PSACh. 7.2 - Prob. 9PSACh. 7.2 - Prob. 10PSACh. 7.2 - Prob. 11PSBCh. 7.2 - Prob. 12PSBCh. 7.2 - Prob. 13PSBCh. 7.2 - Prob. 14PSBCh. 7.2 - Prob. 15PSBCh. 7.2 - Prob. 16PSBCh. 7.2 - Prob. 17PSCCh. 7.2 - Prob. 18PSCCh. 7.2 - Prob. 19PSCCh. 7.2 - Prob. 20PSDCh. 7.3 - Prob. 1PSACh. 7.3 - Prob. 2PSACh. 7.3 - Prob. 3PSACh. 7.3 - Prob. 4PSACh. 7.3 - Prob. 5PSACh. 7.3 - Prob. 6PSACh. 7.3 - Prob. 7PSACh. 7.3 - Prob. 8PSBCh. 7.3 - Prob. 9PSBCh. 7.3 - Prob. 10PSBCh. 7.3 - Prob. 11PSBCh. 7.3 - Prob. 12PSBCh. 7.3 - Prob. 13PSBCh. 7.3 - Prob. 14PSBCh. 7.3 - Prob. 15PSBCh. 7.3 - Prob. 16PSBCh. 7.3 - Prob. 17PSBCh. 7.3 - Prob. 18PSBCh. 7.3 - Prob. 19PSBCh. 7.3 - Prob. 20PSCCh. 7.3 - Prob. 21PSCCh. 7.3 - Prob. 22PSCCh. 7.3 - Prob. 23PSCCh. 7.3 - Prob. 24PSDCh. 7.4 - Prob. 1PSACh. 7.4 - Prob. 2PSACh. 7.4 - Prob. 3PSACh. 7.4 - Prob. 4PSACh. 7.4 - Prob. 5PSACh. 7.4 - Prob. 6PSACh. 7.4 - Prob. 7PSACh. 7.4 - Prob. 8PSBCh. 7.4 - Prob. 9PSBCh. 7.4 - Prob. 10PSBCh. 7.4 - Prob. 11PSBCh. 7.4 - Prob. 12PSBCh. 7.4 - Prob. 13PSBCh. 7.4 - Prob. 14PSCCh. 7.4 - Prob. 15PSCCh. 7.4 - Prob. 16PSCCh. 7.4 - Prob. 17PSCCh. 7 - Prob. 1RPCh. 7 - Prob. 2RPCh. 7 - Prob. 3RPCh. 7 - Prob. 4RPCh. 7 - Prob. 5RPCh. 7 - Prob. 6RPCh. 7 - Prob. 7RPCh. 7 - Prob. 8RPCh. 7 - Prob. 9RPCh. 7 - Prob. 10RPCh. 7 - Prob. 11RPCh. 7 - Prob. 12RPCh. 7 - Prob. 13RPCh. 7 - Prob. 14RPCh. 7 - Prob. 15RPCh. 7 - Prob. 16RPCh. 7 - Prob. 17RPCh. 7 - Prob. 18RPCh. 7 - Prob. 19RPCh. 7 - Prob. 20RPCh. 7 - Prob. 21RPCh. 7 - Prob. 22RPCh. 7 - Prob. 23RPCh. 7 - Prob. 24RPCh. 7 - Prob. 25RPCh. 7 - Prob. 26RPCh. 7 - Prob. 27RPCh. 7 - Prob. 28RPCh. 7 - Prob. 29RPCh. 7 - Prob. 30RP
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