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The diagram shows two regular shapes

The diagram shows two regular shapes-example-1
User Frizinator
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1 Answer

8 votes

Answer:

x = 144°

Explanation:

In the figure given , two regular polygons are given to us. Since the polygon has five sides , it is a regular Pentagon. We know that each angle of a regular Pentagon is 108° .

So , here as per figure two regular Pentagons are attached base to base . Now , we know that,

  • Measure of complete angle is 360° .
  • Measure of regular polygon's angle is 108°.

According to Question ,

⇒ 108° + 108° + x = 360°

⇒ 216° + x = 360°

⇒ x = 360° - 216°

x = 144°

Hence the value of x is 144°

User GrandMasterFlush
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