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20 Feb 2020, 05:27
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Difficulty:
65%
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Question Stats:
61% (02:29) correct
39%
(02:39)
wrong
based on 76
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A polygon has two types of angles: it has m 125º angles and n 150º angles, where m and n are positive integers. What is the value of |m − n| ?
A. 1
B. 3
C. 5
D. 6
E. 12
Are You Up For the Challenge: 700 Level Questions
A. 1
B. 3
C. 5
D. 6
E. 12
Are You Up For the Challenge: 700 Level Questions
20 Feb 2020, 05:44
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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
—> 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
