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What is the value of xy?

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What is the value of xy?  [#permalink]

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New post 17 Jul 2019, 00:45
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

95% (01:04) correct 5% (01:22) wrong based on 44 sessions

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Re: What is the value of xy?  [#permalink]

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New post 17 Jul 2019, 00:58
The angles of an octagon are all equal and is 120 degrees each

Complementary angle sum is 180
So outside angle is 60 deg

X= 120
Y = 60

Xy = 7200 = E

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Re: What is the value of xy?  [#permalink]

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New post 17 Jul 2019, 01:23
Bunuel wrote:
Image
What is the value of xy?

A. 2400
B. 3200
C. 4800
D. 6300
E. 7200

Attachment:
#GREpracticequestion What is the value of xy.jpg



Since y =60
x = 180-60 =120
xy = 120 *60= 7200

IMO E
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Re: What is the value of xy?  [#permalink]

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New post 17 Jul 2019, 01:27
We can divide the figure in Hexagon and a triangle.
For Hexagon, each interior angle x= \(\frac{(6-2)}{6}\) * 180 = 120
For Triangle, each interior angle y = 60

Thus, x*y = 120*60 = 7200

IMO the answer is E.

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Re: What is the value of xy?  [#permalink]

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New post 17 Jul 2019, 02:12
x is the interior angle of a regular hexagon. So x=120

y is the interior angle of an equilateral triangle. So y=60

xy=120*60=7200

Answer is (E)

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Re: What is the value of xy?  [#permalink]

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New post 17 Jul 2019, 02:24
Since all the angles of the triangle are equal therefore value of y=60.Now sum of suplimentery angle are 180 therefore x=120
So correct answere must be 7200(E)
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Re: What is the value of xy?  [#permalink]

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New post 17 Jul 2019, 03:18
The top part of the figure is a regular hexagon. Each angle of a hexagon is 120.

So, x = 120
y = 60 (linear pair)

xy = 120 x 60 = 7200.

Hence, the answer is E.


Note: The sum of interior angles of an n-sided polygon = (n - 2)180

Please give kudos if you liked the solution. :)


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Re: What is the value of xy?  [#permalink]

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New post 17 Jul 2019, 08:07
angles of regular hexagon = x=120 each
Sum of angle of triangle =180
each angle y =60
hence xy =7200
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Re: What is the value of xy?   [#permalink] 17 Jul 2019, 08:07
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