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The phrase "a complementary angle" is correct and usable in written English.
It can be used in mathematical contexts when discussing angles that add up to 90 degrees.
Example: "In a right triangle, the two non-right angles are complementary angles, meaning their measures add up to 90 degrees."
Alternatives: "a right angle pair" or "an angle that complements".
Exact(5)
(Chinen) ★ Craig Taborn and Gust Burns (Saturday) Craig Taborn, who has proven himself a pianist of nearly boundless imagination, teams up here with Gust Burns, a Seattle native who approaches pianism, and improvisation, from a complementary angle.
We use the similar study methodology to find relevant bug reports for our analysis but we provide a complementary angle by studying the effects of recent concurrency bugs with a more fine-grained classification than mapping bugs into deadlock and not-deadlock bug classes.
We have a wide [shot] of the stage from the left side, and a complementary angle from the right side.
Cut a complementary angle on the remaining smoke seal that will fit the angle you began with at the top of the strike side of the jamb.
If you measure part of an angle as 35 degrees, and the other part to 55 degrees, and add, they will make a complementary angle, which is 90 degrees.
Similar(55)
Just make sure that you cut the other pigtail at a similar complementary angle.
The next chapter, by Michael Cummings, continues the theme from a different but complementary angle by taking its departure from written English.
The cosign of an angle equals the sine of the complementary angle, or the adjacent side divided by the hypotenuse of the triangle formed by the incline.
Transmission angle is the complementary angle of the pressure angle, which is defined by the angle between input and output forces of a joint [25].
I told my cinematographer, "Let's move this camera, which is getting the complementary angle, and make it completely frontal so it's up on his face for this first part of the scene where he's telling his stories, because this is a metaphor for blindness". These killings were partly the result of US's anticommunist influence.
The complementary angle of the incident angle, θ, within the film is slightly different at different positions on the recording media plane.
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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