Answer:
Sum=720 x=105 degrees Angle H=110 degrees Angle I= 100 degrees Angle K= 135
Step-by-step explanation:
*A hexagons angles add up to 720
*This is a hexagon
*No matter how the hexagon is shaped, it's still going to add up to 720
- Combine all of the angles (known and unknown) into an equation to equal 720
- 140+105+(x+30)+130+(x-5)+(x+5)=720
- remove parentheses
- 140+105+x+30+130+x-5+x+5=720
- Combine like terms and simplify
- 3x+405=720
- subtract 405 from both sides
- 3x=315
- divide by 3 on both sides
- 3x/3=315/3
- x=105
- Angle H = x+5
- Plug in x
- 105+5=110
- Angle H= 110 degrees
- Angle I = x-5
- pug in x
- 105-5=100
- Angle I= 100 degrees
- Angle K= x+30
- plug in x
- 105+30=135
- Angle K= 135 degrees
