Manhattan Prep
If \(x\) represents the sum of the interior angles of a regular hexagon and y represents the sum of the interior angles of a regular pentagon, then the difference between \(x\) and \(y\) is equal to the sum of the interior angles of what geometric shape?
A. Triangle
B. Square
C. Rhombus
D. Trapezoid
E. Pentagon
OA A
Target Test Prep is 20% off right now!
Use code FLASH20
Available with Beat the GMAT members only code
MORE DETAILS
If \(x\) represents the sum of the interior angles of a
This topic has expert replies
GMAT/MBA Expert
-
Scott@TargetTestPrep
- GMAT Instructor
- Posts: 7261
- Joined: Sat Apr 25, 2015 10:56 am
- Location: Los Angeles, CA
- Thanked: 43 times
- Followed by:29 members
The formula for the sum of the interior angles of an n-gon (a polygon with n sides) is 180 (n - 2).AAPL wrote:Manhattan Prep
If \(x\) represents the sum of the interior angles of a regular hexagon and y represents the sum of the interior angles of a regular pentagon, then the difference between \(x\) and \(y\) is equal to the sum of the interior angles of what geometric shape?
A. Triangle
B. Square
C. Rhombus
D. Trapezoid
E. Pentagon
OA A
The sum of the interior angles of a regular hexagon (n = 6) is 180(6 - 2) = 180 x 4 = 720.
The sum of the interior angles of a regular pentagon (n = 5) is 180(5 - 2) = 180 x 3 = 540.
So the difference is 180, which is the sum of the interior angles of a triangle.
Answer: A
Scott Woodbury-Stewart
Founder and CEO
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews
