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Tcecarenko [31]
2 years ago
6

Find the value of x in the figure.

Mathematics
1 answer:
horsena [70]2 years ago
7 0

Answer:

x = 35

Step-by-step explanation:

First count how many interior angles we have here.

There are 6 interior angles.

so we then can determine the interior sum of the angles here.

Inside angle sum = 180*(6 - 2)  degrees  = 180*4 = 720 degrees

so

(4x - 5)+(4x - 3) + 118 +(3x+6) + (3x-3) + 117 = 720 degrees

8x - 8 + 118 + 6x + 3 + 117 = 720 degrees

14x -8 + 118 + 120 = 720 degrees

14x + 230 = 720

14x = 720 - 230

14x = 490

x = 35

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