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.
The preceding figure shows a regular hexagon. What is the value of x?
[#permalink]
18 Feb 2021, 04:14
18 Feb 2021, 04:14
Expert Reply
00:00
Question Stats:
95% (00:27) correct
5% (00:10) wrong based on 20 sessions
Show timer Statistics
Attachment:
GRE exagon.jpg [ 8.48 KiB | Viewed 2934 times ]
Show: :: OA
120
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
The preceding figure shows a regular hexagon. What is the value of x?
[#permalink]
18 Feb 2021, 06:33
18 Feb 2021, 06:33
1
Carcass wrote:
Attachment:
GRE exagon.jpg
The preceding figure shows a regular hexagon. What is the value of x?Show: :: OA
120
Each Interior Angle of any polygon = (n−2)n x 180°
where, n = number of sides
Here, n = 6
So, x = \frac{(6 - 2)}{6} x 180°
x = 120°
I would recommend to learn the angles of first 10 regular polygons;
Equilateral triangle = 60°
Square = 90°
Pentagon = 108°
Hexagon = 120°
Heptagon = 128.5°
Octagon = 135°
Nonagon = 140°
Decagon = 144°
Re: The preceding figure shows a regular hexagon. What is the value of x?
[#permalink]
18 Feb 2021, 07:43
18 Feb 2021, 07:43
1
Hi,
If you tend to forget the formulae, make sure you have a backup!!
Here, we know every figure with any number of sides will have exterior angle =360.
Divide 360 by the number of sides of the quadrilateral.
i.e. 360/6=60 degrees.
Now, a straight line has an angle of 180 degrees. Subtract this 180 with 60(Or whatever length you get after dividing)
180-60=120 degrees.
Hence x=120 degrees.
Hope this helps!
If you tend to forget the formulae, make sure you have a backup!!
Here, we know every figure with any number of sides will have exterior angle =360.
Divide 360 by the number of sides of the quadrilateral.
i.e. 360/6=60 degrees.
Now, a straight line has an angle of 180 degrees. Subtract this 180 with 60(Or whatever length you get after dividing)
180-60=120 degrees.
Hence x=120 degrees.
Hope this helps!
