With number 7, it says that the measure of angle 2 is 57 degrees. Since a straight line is 180 degrees, 180-57 would be 123 degrees.
For number 8, this is a vertical angle which means that both angles would be the same degree.
For number 9, Same thing as number 7. Measure of angle 5 is 22 degrees. There is also a 90 degree angle. 90 + 22 is 112. 180-112 is 68 degrees.
Number 10 is also a vertical angle. Both angles are the same degree.
Number 11 is just 180 minus 67 since it is a 180 degree line.
Number twelve is like number nine. 180-(90+36)
Number 13 is a matter of combining both equations to equal 180. 4x+11+3x+1=180. Simplify that and you get 7x+12=180. Subtract 12 from both sides. 7x=168. x=24. Plug x into both equations and you will get the measure of the angles.
Number 14, you equal both equations to each other because they are vertical angles. 4x-26=3x+4. Subtract 3x from both sides. x-26 is equal to 4. Add 26 to both sides. x=30. Plug in x for one equation and you will get the angles for both numbered angles since they are vertical angles.
Number 15, you equal both equations to 180. x+10+3x+18=180. Simplify and you get 4x+28=180. Subtract 28 from both sides. 4x=152. x=38. Plug in x to both equations to get the angle measures.
Number 16, you equal both equations to each other since they are vertical angles. 7x-24=5x+14. Subtract 5x from both sides. 2x-24=14. Add 24 to both sides. 2x=38. x=19. Plug in x to one of the equations to get the measures for both angles.
Number 17, Angle measure 3 would be 90 degrees since the angle below that is 90 degrees as well. Since angle measures 4 and 5 are both equal to 90 degrees, you would equal both equations to 90 degrees. 2x-5+4x-13=90. Simplify and you get 6x-18=90. Add 18 to both sides. 6x=108. x=18. Plug in x for both equations to get the angle measures.
Number 18: Complementary means they equal to 90 degrees. Equal 7 and 8 to 90 degrees (equation). If you get x, plug x into both equations. Once you get the degree for 8, subtract the numbered angle 8's degree from 90 to get angle measure of 5. I can't really see this problem, so this is all I could do for you.
This took me an awful long time to explain. Hope you understand.
