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If x represents the sum of the interior angles of a regular hexagon an

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If x represents the sum of the interior angles of a regular hexagon an  [#permalink]

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New post 28 Oct 2014, 09:44
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Tough and Tricky questions: Geometry.



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

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Re: If x represents the sum of the interior angles of a regular hexagon an  [#permalink]

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New post 28 Oct 2014, 10:00
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A. The difference is 180. Use the formula: Sum of angles = 180 (n-2)
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If x represents the sum of the interior angles of a regular hexagon an  [#permalink]

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New post Updated on: 28 Oct 2014, 23:46
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Sum of angles of Hexagon = 180*(6-2) = 720 => using formula sum of angles of polygon = 180*(n-2) where n is the number of sides in a polygon
Sum of angles in Pentagon = 180*(5-2) =540

Difference = 720-540 = 180 => Triangle

hence (A). +1 Kudos for explanation

Originally posted by rajat198 on 28 Oct 2014, 10:18.
Last edited by rajat198 on 28 Oct 2014, 23:46, edited 1 time in total.
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Re: If x represents the sum of the interior angles of a regular hexagon an  [#permalink]

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New post 28 Oct 2014, 23:40
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Regular Hexagon = 180*(6-2) = 180*4

Regular Pentagon = 180*(5-2) = 180*3

Difference = 180(4-3) = 180 = Triangle

Answer = A
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Re: If x represents the sum of the interior angles of a regular hexagon an  [#permalink]

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New post 16 Dec 2014, 06:23
PareshGmat wrote:
Regular Hexagon = 180*(6-2) = 180*4

Regular Pentagon = 180*(5-2) = 180*3

Difference = 180(4-3) = 180 = Triangle

Answer = A



So am i supposed to know these formulas or something? never seen these before and i had no idea even what a hexagon or pentagon was, let alone which degrees of angles they have.
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Re: If x represents the sum of the interior angles of a regular hexagon an  [#permalink]

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New post 17 Dec 2014, 06:36
JoostGrijsen wrote:
PareshGmat wrote:
Regular Hexagon = 180*(6-2) = 180*4

Regular Pentagon = 180*(5-2) = 180*3

Difference = 180(4-3) = 180 = Triangle

Answer = A



So am i supposed to know these formulas or something? never seen these before and i had no idea even what a hexagon or pentagon was, let alone which degrees of angles they have.


You should know that the sum of interior angles of a polygon is 180(n-2) where n is the number of sides. Check for more here: math-polygons-87336.html
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Re: If x represents the sum of the interior angles of a regular hexagon an  [#permalink]

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New post 18 Dec 2018, 10:40
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Re: If x represents the sum of the interior angles of a regular hexagon an   [#permalink] 18 Dec 2018, 10:40
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