The diagram shows two regular shapes

Mathematics

1 answer:

Bond [772]3 years ago

7 0

Answer:

x = 144°

Step-by-step 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°

<h3>Hence the value of x is 144° </h3>

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Answer:

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3 years ago

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Oksi-84 [34.3K]

Answer:

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