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The phrase "at the same angle" is correct and usable in written English.
It can be used when discussing the orientation or position of objects in relation to each other.
Example: "To ensure proper alignment, both pieces should be cut at the same angle."
Alternatives: "at an equal angle" or "in the same orientation".
Exact(60)
Both of its thin, slightly spiraled horns jut straight from its head at the same angle.
We're both very classical dancers, and our legs were at the same angle.
The building's sloping tiers lean at the same angle as the tip of the Washington Monument.
"The sun was coming down at the same angle from which one is bludgeoned to death".
"Their legs and hands are crossed the same way, their cigars are at the same angle.
The dig had also revealed sewerage lines running at the same angle.
Each is tilted at the same angle, as if it had slipped in its frame.
For example, two rays of white light, containing all visible wavelengths of light, entering at the same angle and exiting at the same angle, could take entirely different paths within a droplet.
Moreover, their orbits were all tilted at the same angle to the eight known planets in the solar system.
In skeet, the target comes from the same place and at the same angle and speed every time.
The new process adds a second projector at the same angle on the other side of the camera.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com