If x represents the sum of the interior angles of a regular octagon 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? Select the correct option:
A) Triangle	B) Square	C) Rhombus	D) Trapezoid	E) Pentagon
Sum of angles of octagon = 180*(8-2)= 
<gadget id="calculator">180*(8-2)</gadget>
<output>1_080</output>
1080=&gt; 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)= 
<gadget id="calculator">180*(5-2)</gadget>
<output>540</output>
540   Difference= 1080 - 540= 
<gadget id="calculator">1080 - 540</gadget>
<output>540</output>
540=&gt; Pentagon   hence (Pentagon).
<result>E</result>
If x represents the sum of the interior angles of a regular octagon 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?