Given the figure below, find the value of x.

x = 99

Step-by-step explanation:

The formula for calculating the sum of interior angles is ( n − 2 ) × 180°, where is the n is the number of sides. And since the polygon has 6 sides:

( 6 - 2) 180°

(4) (180)°

720 °

Now that we figure out the sum of all interior angles, all we had to do is add all angles and equal it to 720:

(x - 13) + (x + 10) + (x - 3) + (x) + (2x + 15) + (x + 18) = 720°

Combine like terms:

7x + 27 = 720

7x - 27 - 27 = 720° - 27

7x = 693

7x/7 = 693/7

x = 99

You can check this by substituting the x value of 99 to all terms then add it all up and see if it really is equal to 720.

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step-by-step explanation: