GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Nov 17Live Online Classes with Top GRE Expert Rich Zwelling
08:00 PM EST
-10:00 PM EST
Get live instruction from a top-scoring, industry-recognized GRE teachers + 6 months of access to TTP Self-Study included! Tues/Thur Sept 7, 2026---Feb. 2, 2027, 1:00pm-3:00pm EST
Dec 14Live Online Classes with Top GRE Expert Michael Butville
08:00 PM EST
-10:00 PM EST
Get live instruction from a top-scoring, industry-recognized GRE teachers + 6 months of access to TTP Self-Study included! Mon/Wed Dec. 14, 2026---Feb. 22, 2027, 8:00pm-10:00pm EST
Sum of the exterior angles
[#permalink]
08 Jan 2018, 14:19
08 Jan 2018, 14:19
Expert Reply
4
Bookmarks
00:00
Question Stats:
47% (00:37) correct
52% (00:44) wrong based on 90 sessions
Hide Show timer Statistics
Quantity A |
Quantity B |
Sum of the exterior angles in a regular hexagon |
720 degrees |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Kudo for the right answer and explanation.
Re: Sum of the exterior angles
[#permalink]
10 Jan 2018, 01:19
10 Jan 2018, 01:19
1
1
So let's calculate the interior angle first.
(N-2)180 = 4*180 = 720.
Since the interio angles all egal to 720 it must be true that the extorior are greater than it.
Or what we can do is to determine one angle = 120 angles and draw a circle around all the angles. The area of the exterior angle will then equal 240 and we just add those 6 times.
Answer A
(N-2)180 = 4*180 = 720.
Since the interio angles all egal to 720 it must be true that the extorior are greater than it.
Or what we can do is to determine one angle = 120 angles and draw a circle around all the angles. The area of the exterior angle will then equal 240 and we just add those 6 times.
Answer A
Re: Sum of the exterior angles
[#permalink]
10 Jan 2018, 01:24
10 Jan 2018, 01:24
3
1
Bookmarks
for a hexagon total sides =6
sum of all interior angle of a regular polygon = (n-2)180
for 6 sides this is 4*180 = 720 degree
measure of 1 internal angle=720/6 = 120 degree
Any 1 of the 6 vertex can be extended to form a straight line
Straight angle =180 degree. This leaves us with 180-120= 60 degree for a single external angle
60*6=360 degree = sum of exterior angles (B)
sum of all interior angle of a regular polygon = (n-2)180
for 6 sides this is 4*180 = 720 degree
measure of 1 internal angle=720/6 = 120 degree
Any 1 of the 6 vertex can be extended to form a straight line
Straight angle =180 degree. This leaves us with 180-120= 60 degree for a single external angle
60*6=360 degree = sum of exterior angles (B)
Attachments
geometry_0070.gif [ 5.03 KiB | Viewed 9899 times ]
