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vladimir1956 [14]
3 years ago
15

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><u>Hence</u><u> </u><u>the</u><u> value</u><u> of</u><u> x</u><u> is</u><u> </u><u>1</u><u>4</u><u>4</u><u>°</u><u> </u></h3>

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