Math, asked by nialler13, 6 months ago

can anyone help me with this plzzz :)​

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Answered by Anonymous
5

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Angle x = 80°

(x - 5) = 75°

(x - 6) = 74°

(2x -7) = 153°

x = 80°

(2x - 2) = 158°

Step-by-step explanation:

We know that ASP of a Pentagon = 540°

The angles are

  • (x - 5)°
  • (x - 6)°
  • (2x - 7)°
  • (x)°
  • (2x - 2)

We know that

(x - 5) + (x - 6) + (2x -7) + (x + (2x -2) =540°[ASP of Pentagon

Adxd all the x terms = x + x +2x + x + 2x = 7x

Then the numerical terms = (-5) (-6) (-7) (-2) = (-20)

So, 7x - 20 = 540°

7x = 540 + 20

7x = 560

x = 560/7

x = 80°

So, we got x as 80°

So, The other angles are

  • x - 5 = 80 - 5 = 75°
  • x - 6 = 80 - 6 = 74°
  • (2x -7) = 2 × 80 - 7 = 153°
  • x = 80°
  • 2x - 2 = 2 × 80 - 2 = 158°

Checking

To check our answer we can add all the angles of the pentagon and check whether our sum is 540°.

75°+ 74° + 153°+ 80° + 158° = 540°

So our answer is correct

Add To Your Knowledge

To find the angle sum of any polygon we can use the formula

  • (n - 2) × 180.

Where n is the number of sides of the polygon.

Eg : Pentagon

In pentagon there are 5 sides. The angle sum of the Pentagon = (n - 2) × 180

  • 5 - 2 × 180

  • 3 × 180 = 540°

ASP of Pentagon = 540°

Answered by wansawaka
4

Answer:

I just love the fact that you love one direction.

same here anyway

heartbreak when they seperate

good night

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