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marishachu [46]
3 years ago
6

The sum of the angle measures of the polygon is 540°. Write and solve an equation to find the value of x.

Mathematics
1 answer:
nikklg [1K]3 years ago
6 0

Answer:

x = 23°

Step-by-step explanation:

Looking at the diagram above, we can see that it is Pentagon.

The sum of interior angles in a Pentagon (5 sides polygon) = 540°

This is because in a Pentagon, from the vertex we can draw 2 diagonals that would result in 3 triangles.

Sum of angles in a triangle = 180°

Hence, the sum of angles in a Pentagon = 3 × 180°

= 540°

Hence,

540° = 85° + 5x° + 5x° + 5x + 5° + 5x - 10°

540° = 85° + 5° - 10°+ 5x° + 5x° + 5x° + 5x°

540° = 80° + 20x°

540° - 80° = 20x°

460° = 20x°

x° = 460/20

x = 23°

Therefore, the value of x = 23°

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∴ common point is (²/₃ , ¹⁹/₃)  thus answer is FALSE [OPTION B]


3) Yes [OPTION A]
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Answer:

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(b)

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I hope this helps

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4 years ago
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