Step-by-step explanation:
- Exterior angle is same as sum of remote interior angles.
- Solving for x in each case below.
#7
- 5x + 10 + 58 = 11x + 2
- 5x + 68 = 11x + 2
- 11x - 5x = 68 - 2
- 6x = 66
- x = 11
#8
- 10x - 10 + 30 = 12x - 4
- 10x + 20 = 12x - 4
- 12x - 10x = 20 + 4
- 2x = 24
- x = 12
#9
- 46 - 1 + 8x = 18x + 5
- 8x + 45 = 18x + 5
- 18x - 8x = 45 - 5
- 10x = 40
- x = 4
#10
- 15x + 5 + 22x + 4 = 120
- 37x + 9 = 120
- 37x = 111
- x = 3
