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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! =)
 one year ago
 one year ago
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! =)
 one year ago
 one year ago

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ParthKohliBest ResponseYou've already chosen the best response.0
Do you know the sum of angles in ANY \(n\)sided polygon?
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
That's right. Two angles make up 180 degrees, and what is the sum of the rest of your angles?
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
You are left with this mess:\[180(n 2) = 150(n  2) + 180\]
 one year ago

Lala1345Best ResponseYou've already chosen the best response.1
Im not really understanding :\
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
OK, let's see how I can make you understand.
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
The sum of angles in ANY polygon is \(180(n 2)\) right?
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
Two angles of this particular polygon are right angles. Do you know what a right angle is?
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
So what'd be the sum of these two right angles?
 one year ago

Lala1345Best ResponseYou've already chosen the best response.1
A right angle measures 90 degrees
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
Nice, now what'd the sum of the rest of the angles be?
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
But what'd the \(\textbf{sum}\) of them be?
 one year ago

Lala1345Best ResponseYou've already chosen the best response.1
I dont know :\ the sum is unknown :\
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
In terms of \(n\), what'd it be?
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
Yeah, so the sum of angles is \(150(n  2) + 180\), but it also is \(180(n  2)\). So those two are equal.
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
Now solve for \(n\)! :)
 one year ago

Lala1345Best ResponseYou've already chosen the best response.1
Im still not getting it :(
 one year ago

Lala1345Best ResponseYou've already chosen the best response.1
Thanks for your help anyways :)
 one year ago
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