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sergeinik [125]
2 years ago
9

Does anyone know this ? i'm stuck.. i'll give you brainliest and 15 points !! show work.

Mathematics
1 answer:
madam [21]2 years ago
5 0

Answer:

x = 7

Step-by-step explanation:

The angle adjacent to the 70 degree angle is also 70 degrees.  We assume that there are four 90-degree angles in the center of the figure.  Thus, 8x - 36 + 70 + 90 = 180 (the sum of the interior angles is 180 degrees).

Solving  8x - 36 + 70 + 90 = 180 for x:

              8x - 36 = 20, or 8x = 56.

Dividing both sides by 8 yields x = 7.

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___

With a suitable calculator, this can all be done at once.

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