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@steve216586 wrote:
....
To find the 1.25 radius you must create construction lines:
1. mirror the tangent line at the top line, using the center line labelled 4"
2. draw tangent line from lower circle at 135 degrees
....
There is enough information given to complete this part. Don't listen to the other posters. There is nothing wrong with the excercise.
Your step 1, as well as your 45-degree angle in the drawing and 135 degrees in step 2, are assumptions that are not explicit in the original image. They look sort of like that, but it's rather distorted. For example, what you show as 90 degrees in the drawing must be 90 degrees because of the nature of dimensioning, but does not look all that close to 90 degrees in the original -- the longer line is even curved a little -- so how much are other relationships distorted? Only if those assumptions are correct is there enough information. Maybe that's enough for purposes of the assignment, but they could have included just a little more information that would have tied it down.