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A polygon has two types of angles: it has m 125º angles and n 150º ang

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Math Expert
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A polygon has two types of angles: it has m 125º angles and n 150º ang  [#permalink]

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New post 20 Feb 2020, 04:27
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A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

63% (02:15) correct 38% (01:56) wrong based on 24 sessions

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Director
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Re: A polygon has two types of angles: it has m 125º angles and n 150º ang  [#permalink]

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New post 20 Feb 2020, 04:44
1
The sum of interior angles:
—> 180(x—2)
(—> x= the number of angles)

x= m+n
—> 125m + 150n = 180(m+n—2)
125m + 150n = 180m+180n—360
55m + 30n = 360
—> 11m+ 6n = 72
m,n — positive integer
Only m=6 and n = 1 satisfies the equation ( 11*6 + 6*1= 72)
| m—n | = 6–1= 5

The answer is C

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Director
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GMAT 1: 580 Q43 V27
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Re: A polygon has two types of angles: it has m 125º angles and n 150º ang  [#permalink]

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New post 20 Feb 2020, 05:37
lacktutor wrote:
The sum of interior angles:
—> 180(x—2)
(—> x= the number of angles)

x= m+n
—> 125m + 150n = 180(m+n—2)
125m + 150n = 180m+180n—360
55m + 30n = 360
—> 11m+ 6n = 72
m,n — positive integer
Only m=6 and n = 1 satisfies the equation ( 11*6 + 6*1= 72)
| m—n | = 6–1= 5

The answer is C

Posted from my mobile device

Since in a polygon
number of angles = number of sides
x = m + n
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Re: A polygon has two types of angles: it has m 125º angles and n 150º ang   [#permalink] 20 Feb 2020, 05:37
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A polygon has two types of angles: it has m 125º angles and n 150º ang

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