BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

If \(x\) represents the sum of the interior angles of a

Expert replies
by AAPL » Wed Jun 26, 2019 6:03 am

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty

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
Join the discussion
Source: — Problem Solving |

by Scott@TargetTestPrep » Mon Jul 01, 2019 4:09 pm
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 formula for the sum of the interior angles of an n-gon (a polygon with n sides) is 180 (n - 2).

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]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage
Join the discussion