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∘(n−2)

Calculation: Here, the formula is 180∘(n−2)

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

➔ 180∘(4−2)

➔ 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∘(n−2)

Calculation: Here, the formula is 180∘(n−2)

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∘(n−2)

Calculation: Here, the formula is 180∘(n−2)

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

➔ 180∘(8−2)

➔ 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∘(n−2)

Calculation: Here, the formula is 180∘(n−2)

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

➔ 180∘(12−2)

➔ 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∘(n−2)

Calculation: Here, the formula is 180∘(n−2)

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

➔ 180∘(93−2)

➔ 16380∘

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

Chapter 7.2, Problem 20PSD

Chapter 7.3, Problem 2PSA

Chapter 7 Solutions

Geometry For Enjoyment And Challenge

Ch. 7.1 - Prob. 1PSA Ch. 7.1 - Prob. 2PSA Ch. 7.1 - Prob. 3PSA Ch. 7.1 - Prob. 4PSA Ch. 7.1 - Prob. 5PSA Ch. 7.1 - Prob. 6PSA Ch. 7.1 - Prob. 7PSA Ch. 7.1 - Prob. 8PSA Ch. 7.1 - Prob. 9PSA Ch. 7.1 - Prob. 10PSA

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

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