If x represents the sum of the interior angles of a regular hexagon and y represents the sum of the interior angles of

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

by BTGmoderatorDC » Mon Aug 16, 2021 5:47 pm

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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

Source: Manhattan Prep

Source: Beat The GMAT — Problem Solving | Mon Aug 16, 2021 5:47 pm

swerve: Legendary Member; Posts: 2604; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

Re: If x represents the sum of the interior angles of a regular hexagon and y represents the sum of the interior angles

by swerve » Tue Aug 17, 2021 4:04 am

BTGmoderatorDC wrote: ↑
Mon Aug 16, 2021 5:47 pm
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

Source: Manhattan Prep

Regular Hexagon $= 180\ast (6-2) = 180\ast 4$

Regular Pentagon $= 180\ast (5-2) = 180\ast 3$

Difference $= 180\ast (4-3) = 180 =$ Triangle

Therefore, A

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