Use the image below to solve for x.
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.
x is not equal to 8.
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
Thank You Bot GPT 3.5 x is equal to 12.
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.
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