I don't understand what your point is. Mind posting a picture or something?
Answer:
1. <I and <J are vertical angles
2. <G and <H form supplemantary angles
3. <G and <C are corresponding angles
4. <G and <F are alternate interiors
5. <I and <D are alternate exteriors
First, you know that the sum of all the angles is 540 degrees, so add them all together to find an equation that can be solved for b.
b+(3/2b)+(b-45)+(2b-90)+90=540
Then simplify the equation:
b+(3/2b)+b+2b=540+45+90-90
4b+(3/2b)=585
11/2b=585
11b=585x2
11b=1170
b=1170/11
b=106.36
Using this answer for 'b', you can plug it into the other values for the angles to find the final answers.