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7. The diagram shows a regular pentagon inscribed inside the rectangle. Find the values of x, y, and z.
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7. The diagram shows a regular pentagon inscribed inside the rectangle. Find the values of x, y, and z.

7. The diagram shows a regular pentagon inscribed inside the rectangle. Find the values-example-1
User Gsnedders
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1 Answer

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regular pentagon sum of interior = (5 - 2) x 180 = 3 x 180 = 540
so
x = 540 / 5 = 108

180 - 108 = 72
y = 72/2 = 36

z = 180 - 90 - 36
z = 54

answer
x = 108, y = 36 and z = 54
User Eickenberg
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