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Sub 505 (Easy)|   Geometry|      
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Bunuel
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If x represents the sum of the interior angles of a regular hexagon an 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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A
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vietnammba
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If x represents the sum of the interior angles of a regular hexagon an 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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rajat198
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If x represents the sum of the interior angles of a regular hexagon an Updated on: 28 Oct 2014, 23:46
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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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
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If x represents the sum of the interior angles of a regular hexagon an 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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If x represents the sum of the interior angles of a regular hexagon an 16 Dec 2014, 06:23
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PareshGmat
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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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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Bunuel
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If x represents the sum of the interior angles of a regular hexagon an 17 Dec 2014, 06:36
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JoostGrijsen
PareshGmat
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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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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alexisrakh
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If x represents the sum of the interior angles of a regular hexagon an 03 Feb 2021, 09:37
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Sum of internal angles=(n-2)180

Sum hexagon - sum pentagon = 4(180) - 3(180) = 180

--> triangle

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