anonymous
  • anonymous
A polygon has n sides. Two of its angles are right angles. Each of the remaining angles equal to 150 degrees. calculate n. Please help! =)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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ParthKohli
  • ParthKohli
Do you know the sum of angles in ANY \(n\)-sided polygon?
anonymous
  • anonymous
n-2X180 degrees
ParthKohli
  • ParthKohli
That's right. Two angles make up 180 degrees, and what is the sum of the rest of your angles?

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More answers

ParthKohli
  • ParthKohli
You are left with this mess:\[180(n -2) = 150(n - 2) + 180\]
anonymous
  • anonymous
Im not really understanding :\
ParthKohli
  • ParthKohli
OK, let's see how I can make you understand.
ParthKohli
  • ParthKohli
The sum of angles in ANY polygon is \(180(n -2)\) right?
anonymous
  • anonymous
Right
ParthKohli
  • ParthKohli
Two angles of this particular polygon are right angles. Do you know what a right angle is?
anonymous
  • anonymous
Yes
ParthKohli
  • ParthKohli
So what'd be the sum of these two right angles?
anonymous
  • anonymous
A right angle measures 90 degrees
anonymous
  • anonymous
180 degrees
ParthKohli
  • ParthKohli
Nice, now what'd the sum of the rest of the angles be?
anonymous
  • anonymous
150 degrees
ParthKohli
  • ParthKohli
But what'd the \(\textbf{sum}\) of them be?
anonymous
  • anonymous
I dont know :\ the sum is unknown :\
ParthKohli
  • ParthKohli
In terms of \(n\), what'd it be?
anonymous
  • anonymous
150 (N-2)
ParthKohli
  • ParthKohli
Yeah, so the sum of angles is \(150(n - 2) + 180\), but it also is \(180(n - 2)\). So those two are equal.
ParthKohli
  • ParthKohli
Now solve for \(n\)! :-)
anonymous
  • anonymous
Im still not getting it :(
anonymous
  • anonymous
Thanks for your help anyways :-)

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