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Aditi Sauriyal

· started a discussion

· 1 Months ago

junaid then how can we solve (Question: 107876.0 )

plz provide correct solution

Question:

In a polygon, the each angle of 5 sides is 172° and the other angles are 160° each. Find the number of sides of the polygon.


Options:
A) 18
B) 23
C) 20
D) 21
Solution:

5*172 = 860

860 + (n-5)*160 = (n-2)*180

 860 + 160n - 800 = 180n - 360

420 = 20n

n = 21 sides

Knowledge Expert

· commented

· 1 Months ago

(n−2)×180
--------- =160 (where n is no. of sides making angle 160°)
n

n=18
total sides= 18+5=23
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