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"lies at an angle" is a correct and usable phrase in written English
It is often used to describe the position or orientation of an object. Here is an example of how it can be used in a sentence: "The bookshelf in the corner of the room lies at an angle, making it difficult to store tall items on the bottom shelf."
Exact(2)
Look closely to see its fine, feathery leaves and delicate white flowers among the bluebells, then follow the stalk down to the root, which lies at an angle from the stem, a few inches below the soil.
The plane of the ecliptic lies at an angle of about 60° to the galactic plane.\alpha_e=\beta_e=\alpha_g=\beta_g= The Solar System's location in the galaxy is a factor in the evolution of life on Earth.
Similar(58)
They lie at an angle to the skin surface.
It is said to run true from east to west, and that's why it looks crooked, lying at an angle to streets established later.
But with high seas and strong underwater currents, and with the submarine lying at an angle at a depth of 350 to 480 feet, the chances for a rescue seemed to grow dimmer.
It meant the lander's final resting place was about half a mile from the initial landing site and left Philae lying at an angle and its solar panels partially obscured.
As I write, there are suggestions it may be lying at an angle, some way from the original landing zone so much time and effort was spent choosing.
Helical gears have been developed from spur gears, and their teeth lie at an angle to the axis of the shaft.
Both of interplanes spacings, whose values are about 0.237 nm and lie at an angle of near to 60°, are of regular parallelogram with a center and corresponding to the and planes of the hexagonal Al2O3, respectively.
These improvements have been attributed to increased nanotube-to-nanotube contact length in the high packing density sheath and very few carbon nanotubes lying at an angle to the yarn axis.
The molecules in the crystal are constricted by 0.5 Å per monomeric unit from the fully extended conformation, and the planes of the adjacent benzene rings lie at an angle of ∼ 90° to each other.
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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