The angle between the lines joining the origin to the points of intersection of the degenerated elipse and the straight line is approximately 136.635°.
We have the graphs of a degenerated ellipse and a line, which intercept each other at points (x₁, y₁) = (-0.293, 1.121) and (x₂, y₂) = (- 1.707, - 3.121). A representation of the situation is shown in the image attached below.
Now we find the angle between the two lines by dot product:
[tex]\cos \theta = \frac{(- 0.293, 1.121)\,\bullet \,(- 1.707, - 3.121)}{1.159 \,\cdot\, 3.557}[/tex]
[tex]\cos \theta = - 0.727[/tex]
θ ≈ 136.635°
To learn more on dot product: https://brainly.com/question/14455586
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