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30 Nov 2016, 03:15
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Difficulty:
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80% (00:48) correct
20%
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What is the measurement of one inner angle of the regular octagon?
A.\(115^o\) B. \(120^o\) C. \(125^o\) D. \(130^o\) E. \(135^o\)
A.\(115^o\) B. \(120^o\) C. \(125^o\) D. \(130^o\) E. \(135^o\)
vivekkumar987
30 Nov 2016, 03:48
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MathRevolution
What is the measurement of one inner angle of the regular octagon?
A.\(115^o\) B. \(120^o\) C. \(125^o\) D. \(130^o\) E. \(135^o\)
A.\(115^o\) B. \(120^o\) C. \(125^o\) D. \(130^o\) E. \(135^o\)
sum of interior angle of polygon is = (n-2) * 180
sum of interior angle of octagon is = (8-2) * 180 = 6 * 180 =1080
for each side = 1080 / 8 = 135
Updated on: 30 Apr 2020, 13:38
Originally posted by BrentGMATPrepNow on 30 Nov 2016, 08:52.
Last edited by BrentGMATPrepNow on 30 Apr 2020, 13:38, edited 1 time in total.
Last edited by BrentGMATPrepNow on 30 Apr 2020, 13:38, edited 1 time in total.
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MathRevolution
What is the measurement of one inner angle of the regular octagon?
A.\(115^o\)
B. \(120^o\)
C. \(125^o\)
D. \(130^o\)
E. \(135^o\)
A.\(115^o\)
B. \(120^o\)
C. \(125^o\)
D. \(130^o\)
E. \(135^o\)
A regular octagon is an 8-sided polygon in which all 8 sides are equal length, and all 8 interior angles are equal measure.
Useful rule: the sum of the angles in an n-sided polygon = (n - 2)(180º)
So, the SUM of the angles in an 8-sided polygon = (8 - 2)(180º)
= (6)(180º)
= 1080º
There are 8 angles in an octagon, so each angle = 1080º/8
= 135º
Answer: E
Cheers,
Brent
