# In triangle ABC ,DE is equal to BC ans FG is Equal to DH ans ACB=90 AE=2cm and EC =1cm.determime DE/BC

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First you need to do your own work

Posted on Apr 18, 2017

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Posted on Jan 02, 2017

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Now we set this to be equal to 176 and solve for n.
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-----------
n

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Subtracting 176n from both sides and adding 360 to both sides, we get

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Hopefully you don't have to construct it.

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### How many sides does a regular polygon have when the interior degrees is 176?

Lots and lots and lots. When you think the angle is nearly 180 degrees or a straight line, it must have lots and lots of sides.

The total of the interior angles of a polygon is given by (n-2)180, so the angle of each interior angle of a regular polygon is given by ((n-2)180)/n.

Now we set this to be equal to 176 and solve for n.
(n-2)180 = 176
-----------
n

Multiplying both sides by n, we get (n-2) 180 = 176n

Expanding the left side of the equation, 180n - 360 = 176n

Subtracting 176n from both sides and adding 360 to both sides, we get

180n - 176n = 360

4n = 360

Dividing both sides by 4, n = 90

Thus, you need a regular polygon of 90 sides to get an internal angle of 176 degrees.

Hopefully you don't have to construct it.

Good luck,

Paul

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