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08 Mar 2015, 20:26
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
82% (01:46) correct
18%
(01:50)
wrong
based on 170
sessions
History
Date
Time
Result
Not Attempted Yet
Attachment:
gpp_img3.png [ 12.15 KiB | Viewed 82775 times ]
(A) 24°
(B) 30°
(C) 36°
(D) 40°
(E) 45°
Kudos for a correct solution.
08 Mar 2015, 22:43
Kudos
Bookmarks
in regular polygon of n sides ,
interior angle d = 2n-4/n*90degree
here pentagon five side
=2*5-4/5*90
=108 degree internal angle.
all internal angle are 108 degree
In regular polygon sides are also equal distance.
In tri ABC= ANGLE B=108 THEN ANGLE A AND ANGLE C = 36DEGREE
IN TRI CDE, SAME ANGLE D=108 THEN ANGLE C ANGLE D=36DEGREE
IN REGULAR POLYGON ANLGE C 108 DEGREE.= ANGLE ABC AT C+ ANGLE CDE ATC+ ANGLE ACE AT C
=36+36+X=108
x=36DEGREE
option C sufficient.
alternative to find internal anlge
exterior angle of regular polygon=360/n=360/5=72 degree
interior angle=180-72=108 degree
interior angle d = 2n-4/n*90degree
here pentagon five side
=2*5-4/5*90
=108 degree internal angle.
all internal angle are 108 degree
In regular polygon sides are also equal distance.
In tri ABC= ANGLE B=108 THEN ANGLE A AND ANGLE C = 36DEGREE
IN TRI CDE, SAME ANGLE D=108 THEN ANGLE C ANGLE D=36DEGREE
IN REGULAR POLYGON ANLGE C 108 DEGREE.= ANGLE ABC AT C+ ANGLE CDE ATC+ ANGLE ACE AT C
=36+36+X=108
x=36DEGREE
option C sufficient.
alternative to find internal anlge
exterior angle of regular polygon=360/n=360/5=72 degree
interior angle=180-72=108 degree
09 Mar 2015, 00:08
Kudos
Bookmarks
Hi
In a regular polygon all sides are equal and each angle is 108 degrees.
Plz find the attachment with the markings on it.
Triangle CED, ABC & ACE are isosceles
As ∠CDE = 108
Therefore ∠DEC=∠ECD=36
From the figure attached b=108-36=72
Now a+b+b=180
a+72+72=180
a=36
In a regular polygon all sides are equal and each angle is 108 degrees.
Plz find the attachment with the markings on it.
Triangle CED, ABC & ACE are isosceles
As ∠CDE = 108
Therefore ∠DEC=∠ECD=36
From the figure attached b=108-36=72
Now a+b+b=180
a+72+72=180
a=36
Attachments
File comment: Solution
gpp_img3.png [ 13.31 KiB | Viewed 61675 times ]
