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15 Jul 2021, 01:30
Kudos
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
91% (01:24) correct
9%
(01:48)
wrong
based on 86
sessions
History
Date
Time
Result
Not Attempted Yet
If ABCDE is a regular pentagon, what is the value of x in the figure above?
A. 36
B. 42
C. 45
D. 48
E. 72
Attachment:
1.png [ 7.36 KiB | Viewed 6595 times ]
15 Jul 2021, 01:40
Kudos
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Explanation:
Sum of all interior Angle = (n-2)×180
= 3x180 = 540
All angle are equal in regular pentagon, each angle will be = 540/5 = 108
A regular pentagon has interior angle = 108 (explanation above)
Angle FEA Will be = 180-108 = 72 = Angle FAE
x = 180 - 72 - 72
x = 180 - 144 = 36
IMO-A
Posted from my mobile device
Sum of all interior Angle = (n-2)×180
= 3x180 = 540
All angle are equal in regular pentagon, each angle will be = 540/5 = 108
A regular pentagon has interior angle = 108 (explanation above)
Angle FEA Will be = 180-108 = 72 = Angle FAE
x = 180 - 72 - 72
x = 180 - 144 = 36
IMO-A
Posted from my mobile device
15 Jul 2021, 03:31
Kudos
Bookmarks
Each interior angle of regular polygon is = \(180*\frac{(5-2)}{5} =108\)
angle FEA = 180-108 = 72
x+ 72+ 72 = 180
x = 36
(A) is the correct choice
angle FEA = 180-108 = 72
x+ 72+ 72 = 180
x = 36
(A) is the correct choice
Bunuel
