So,
1) Judging from the remark in the corner of the whole angle is a right angle, equals 90 degrees. Since there is already part of the angle shown we can subtract 48 from 90 degrees which is 42 degrees. Since the equation in the other part of the angle is 3x and we are solving for x and we already know the angle is equal to 42 degrees we can divide 42 by 3.
1) x=14 degrees
2) The whole angle is a straight line so it is equal to 180 degrees. The piece of the angle that is already there is equal to 126. So, we subtract 126 from 180. Which is equal to 54 degrees. The equation on the other side of the line is 2x-14. We already know that the angle is 54 degrees, so we say 2x-14=54. 54 plus 14 is 68 and 68 divided by 2 is 34.
2) x=34 degrees
3) x-19 + x+35=180
2x+16=180. Simplify.
2x=164. Subtract 16 from 180
x=82. Divide 164 by 2
4) 3x+2 + x+16= 90
4x+18=90. Simplify
4x=72. Subtract 18 from 90
x=18. Divide 72 by 4.
5) 4x-7+x+17=90
5x+10=90. Simplify
5x=80. Subtract 10 from 90
x=16. Divide 80 by 5
6) 42+2x+56=180
2x+98=180. Simplify
2x=82. Subtract 98 from 180
x=41. Divide 82 by 2
Remember you can always plug the value for x back into the equation.