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Question

Find the unknown angle x in the above figure.
84002.jpg
  1. 600
  2. 1200
  3. 1080
  4. 900

A
600
B
1200
C
900
D
1080
Solution
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The given figure is a regular pentagon since it has 5 sides and all are equal
We know that the sum of the internal angles Sn of an n sided convex polygon is (n2)×180o
Here n=5, i.e Sn=(52)×180o=540o.......(i)
In a regular polygon, all the sides are equal and all the angles are equal to each other
5x=540o
x=108o

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