Name of an angle between 0 and 180 degrees / $\pi$

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Is there a name for and angle larger than 0 and smaller than $\pi$ or 180 degrees? So it covers acute, right and obtuse, it's kind of opposite of reflex angle. In my language there is a name for such an angle, so I'd be surprised if there isn't one in English. The term would then apply to every angle of a polygon iff that polygon is convex.

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Looks like some sources call this a "convex angle," because the interior of the angle is a convex set.

For example, PlanetMath and ProofWiki use this definition.