Math, asked by kabrarita83, 22 days ago

find the no. of sides of a polygon the sum of whose interior angle is 10 right angle.​

Answers

Answered by mettuvishnuvardhan86
1

Answer:

Sum of interior angles of polygon =10 right angles =10×90  

o

=900  

o

 (given)

But sum of interior angles of a polygon =(2n−4) right angles.

i.e.900=(2n−4)×90  

o

 

⇒180n−360=900

⇒180n=900+360

⇒n=  

180

1260

​  

 

⇒n=7

Hence the required number of sides =7

Answered by aditya4980
0

Sum of interior angles of polygon

=

10

right angles

=

10×

90

o

=

900

o

(given)

But sum of interior angles of a polygon

=

(2n−

4)

right angles.

i.e.900=

(2n−

4)×

90

o

180n−

360=

900

180n=

900+

360

n=

180

1260

n=

7

Hence the required number of sides

=

7

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