Answer:
13 = x
Step-by-step explanation:
Remark
The six exterior angles add up to 360. In fact the exterior angles of any closed convex figure adds up to 360.
You can try this with simple figures. An equalateral triangle has 3 equal exteror angles. They are all 120 degrees 3*120 = 360
A square has 4 exterior angles. All 4 of them are 90 degrees. The sum of them is 90 * 4 = 360
Givens
Angles
- 3x+ 6,
- 7x - 11,
- 62,
- 4x + 7 ,
- 6x-5,
- 41
The Total is 360 degrees
Solution
3x + 6 + 7x - 11 + 62 + 4x + 7 + 6x - 5 + 41 = 360 Combine like terms
20x + 100 = 360 Subtract 100 from both sides
20x = 360 - 100
20x = 260
x = 13
Check
- 3x + 6 = 45
- 7x - 11 = 80
- 62
- 4x + 7 = 59
- 6x - 5 = 73
- 41
- Total 360
