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Find the value of x in the figure.

Find the value of x in the figure.-example-1
User Aditzu
by
5.5k points

1 Answer

3 votes

Answer:

x = 35

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

User Ryan Newman
by
5.7k points
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