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harshit tiwari

· started a discussion

· 1 Months ago

Is negative marking 1/2 in this mock test each negative answer cuts 1 mark

Question:
The difference between the exterior and interior angles at a vertex of a regular polygon is 1500. The number of sides of the polygon is:
Options:
A) 10
B) 15
C) 24
D) 30
Solution:

Let the no. of sides of polygon be n.

Then,

\(\big(\cfrac{2n-4}{n}\big)×90^o-\cfrac{360}{n}=150\)

6n – 24 = 5n

n = 24

Knowledge Expert

· commented

· 1 Months ago

Let interior angle be X
and exterior angle be Y
So, we can write them as X-Y=150 degrees
and X+Y=180 degrees

in order to find the number of sides of a polygon the formula is

360 degrees/interior angle


so by solving above two equations we get X= 15 degrees

so 360 degrees/15 degrees


n=24 sides

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