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Re: Sum of the angles (in degrees) in a pentagon [#permalink]
AE wrote:
(5 - 2)(180°)
= (3)(180°)
= 540°

Hence Answer A
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Re: Sum of the angles (in degrees) in a pentagon [#permalink]
GreenlightTestPrep wrote:
Carcass wrote:
Quantity A
Quantity B
Sum of the angles (in degrees) in a pentagon
500°


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


Useful rule: the sum of the angles in an n-sided polygon = (n - 2)(180°)

A pentagon has 5 sides
So, the sum of the angles = (5 - 2)(180°)
= (3)(180°)
= 540°

We get:
Quantity A: 540°
Quantity B: 500°

Answer: A

Cheers,
Brent





the question does not state if its a regular pentagon. how can we be so sure if the sum is greater than 500 degrees?
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Re: Sum of the angles (in degrees) in a pentagon [#permalink]
Carcass wrote:
Quantity A
Quantity B
Sum of the angles (in degrees) in a pentagon
500°


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


The question doesn't mention which angles - interior or exterior!!
Can we assume it to be interior?
It's a tricky question in QC category where assumption or lack of info can change the answer.
Don't know what to do here.... Can anybody suggest?
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Re: Sum of the angles (in degrees) in a pentagon [#permalink]
Expert Reply
Is nothing is stated about external angle or else, you should always think about INTERNAL angles.

If you talk about a triangle and nothing is stated I do think is fair to cast our assumption on its internal angles which the sum is 180°

regards
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Re: Sum of the angles (in degrees) in a pentagon [#permalink]
nice
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Re: Sum of the angles (in degrees) in a pentagon [#permalink]
Qty A--> Pentagon (internal) angles add up to 540. Kudos if you like this post
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Re: Sum of the angles (in degrees) in a pentagon [#permalink]
Draw out a pentagon and basically it's a triangle sitting on top of a square.

Degrees of a triangle + Degrees of a square

180 + 360 = 540 degrees.

Therefore answer is A
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Re: Sum of the angles (in degrees) in a pentagon [#permalink]
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