Help me figure out these angles on my bumper

[Be_Original]

I want to say that the angles are solely dependent on how I mate the different sections of steel together, BUT is there a way to figure out the angles based on the given measurements? Is there a formula? I was trying to figure it out and was only getting more confused any help is well appreciated. THANKS.
Angles are numbered on picture from 1-5 so you can list the answers.

 

[Be_Original]

Now that I look at it, I guess you could find the three inside angles by breaking it into three triangles: angle 2,3,4/angle 1,2,4/angle 1,5,4? Hmm

 

[RedSled]

Can you not use an adjustable angle finder?

 

[Be_Original]

Can you not use an adjustable angle finder?

Used a cheap protractor, got me a ballpark angle. It was not clear/see through (solid metal with and adjustable angle finder) so I was not sure if I was centered. I was just wondering if mathematically it is possible to calculate these angles. Something tells me it is not possible.

 

[BlackWorksInc]

Well if your measurements are accurate you could just draw it as a full-scale or scaled down drawing and then just measure your angles off the drawing as it should be representative of actual angles. But that depends on how accurate your numbers are for those lines.

 

[RedSled]

Online Triangle Calculator. Enter any valid values and this tool will take it form there!

This may help...........or not?

 

[Be_Original]

Well if your measurements are accurate you could just draw it as a full-scale or scaled down drawing and then just measure your angles off the drawing as it should be representative of actual angles. But that depends on how accurate your numbers are for those lines.

Correct, l actually have made two full 1/2 scales out of cardboard but unfortunately the measurments havd been off by 1/4 to 3/4" on each. I think my issue lies with the sides of our trucks having such a large void to fill and the rear bumper piece will dictate the angles in which the side steel plates curve up and around. I think I will wing it in hopes that im not to short or wide. This week Ill be making a final template out of 3/16" plastic sheet.
Thanks

 

[A.Wilson013]

Well if your measurements are accurate you could just draw it as a full-scale or scaled down drawing and then just measure your angles off the drawing as it should be representative of actual angles. But that depends on how accurate your numbers are for those lines.

Correct, l actually have made two full 1/2 scales out of cardboard but unfortunately the measurments havd been off by 1/4 to 3/4" on each. I think my issue lies with the sides of our trucks having such a large void to fill and the rear bumper piece will dictate the angles in which the side steel plates curve up and around. I think I will wing it in hopes that im not to short or wide. This week Ill be making a final template out of 3/16" plastic sheet.
Thanks

1 should be 134, 2 should be 136.

I don't think the rest are possible with what you've got. I'll keep trying.

 

[nb rob]

Should be able to plot circles at each point with the radius equal to the given sides,
And then connect the intersection points. Determine the chords, and solve the triangles.

I'll throw this in to cad a bit later if someone hasn't provided answers yet.

There should be enough information in that sketch to solve all the angles.

 

[A.Wilson013]

Should be able to plot circles at each point with the radius equal to the given sides,
And then connect the intersection points. Determine the chords, and solve the triangles.

I'll throw this in to cad a bit later if someone hasn't provided answers yet.

There should be enough information in that sketch to solve all the angles.

I'm not the sharpest tool in the shed, but I cannot figure out the right hand side of the drawing. With only that one 90* reference I don't see how to draw the lines needed in order to use the circle method (which I used on the left side).

 

[A.Wilson013]

Since the overall height is ~11-1/2" - In order for an 8" segment and a 4-3/4" segment to fit between the 2" segment at top, and the bottom 27-1/2" segment, angle 5 would have to be like 163* which looks nothing like your picture... Are you sure on those two dimensions?

 

[nb rob]

can you confirm the assumption that the green lines are parallel?

 

[nb rob]

Since the overall height is ~11-1/2" - In order for an 8" segment and a 4-3/4" segment to fit between the 2" segment at top, and the bottom 27-1/2" segment, angle 5 would have to be like 163* which looks nothing like your picture... Are you sure on those two dimensions?

I came to the same conclusion

 

[nb rob]

If the green lines are parallel, ((2) angles at left hand side are 90 degrees), this sketch should help.

If you have a plate burner I can send you a DXF file

 

[nb rob]

Here is a cut sheet, perhaps you will find it more useful than laying out angles.

 

[cbielat]

This hurts my brain. I suck at math.

 

[Be_Original]

Since the overall height is ~11-1/2" - In order for an 8" segment and a 4-3/4" segment to fit between the 2" segment at top, and the bottom 27-1/2" segment, angle 5 would have to be like 163* which looks nothing like your picture... Are you sure on those two dimensions?

With my protractor I was roughly getting 160 at angle 1, 160 again at angle 2, 165 degrees at angle 4 and 145 degrees at angle 5. Angle 3 was a bit weird to initially measure as it looked to be damn near straight. I will attach some pictures of what I got. Thanks for all your help!

EDIT: Dimensions probably aren't perfect but damn near, still in the rough draft phase.

 

[Be_Original]

can you confirm the assumption that the green lines are parallel?

Correct the three green lines are all parallel. Wish I had autocad skills, seen some pretty neat projects made on that software.

 

[Be_Original]

If the green lines are parallel, ((2) angles at left hand side are 90 degrees), this sketch should help.

If you have a plate burner I can send you a DXF file

NB Rob that is awesome! Many thanks, this makes sense to me. I really appreciate your help and the other guys that have chimed in.

Edit: Angle 3 to 4 the 8" section is a lot straighter than I'd like to be, that is visually helpful.

 

[Be_Original]

For those that are curious I am slowly but surely getting this bumper built:
http://www.toyota-4runner.org/4th-gen-t4rs/217296-be_originals-budget-projects-thread.html