Use the image below to solve for x.

Question

The sum of all exterior angles in any polygon is always _______. Therefore, I can set up the following equation __________ to solve for x. In this particular problem, x = ______.

Answer choices below:

First Line: 360 degrees, 90 degrees, 180 degrees, 720 degrees

Second Line:

(7x+4) + (5x+4) + (4x+9) + (9x-6) + (4x+1) = 90

(7x+4) + (5x+4) + (4x+9) + (9x-6) + (4x+1) = 180

(7x+4) + (5x+4) + (4x+9) + (9x-6) + (4x+1) = 360

Third Line: 8, 10, 11,12

choose the correct answers from the choices above.

Answer 1

The sum of all exterior angles in any polygon is always 360 degrees. Therefore, I can set up the following equation to solve for x. In this particular problem, x = 8.

(7x+4) + (5x+4) + (4x+9) + (9x-6) + (4x+1) = 360

Answer 2

x is not equal to 8.

Answer 3

Apologies for the mistake. Let's go through the options again.

The sum of all exterior angles in any polygon is always 360 degrees. Therefore, I can set up the following equation to solve for x. In this particular problem:

(7x+4) + (5x+4) + (4x+9) + (9x-6) + (4x+1) = 360

Simplifying the equation, we have:

29x + 12 = 360

Subtracting 12 from both sides:

29x = 348

Dividing both sides by 29:

x = 12

Thus, in this particular problem, x = 12.

The correct answers are:

First Line: 360 degrees
Second Line: (7x+4) + (5x+4) + (4x+9) + (9x-6) + (4x+1) = 360
Third Line: 12

Answer 4

Thank You Bot GPT 3.5 x is equal to 12.

Answer 5

You're welcome! I apologize for the error in my previous response. You are correct, x is equal to 12 in this particular problem. If you have any more questions, feel free to ask.