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Explanation:

Identify the core cosmetology concepts

Using the Wet Hairstyling and Thermal Iron Techniques knowledge points, we analyze the relationship between the angle of hair projection (elevation) and the resulting roller base placement (base control).

Match the 135-degree angle

Using the Wet Hairstyling knowledge point

  • Holding the hair at a \(135^\circ\) angle (beyond perpendicular, directed forward/away from the stylist) results in On-base (also known as full base) placement, which provides maximum volume.

Match the 90-degree angle

Using the Wet Hairstyling knowledge point

  • Holding the hair at a \(90^\circ\) angle (straight up/perpendicular from the head) results in Half-base placement, where the roller sits half on and half behind its base, providing moderate volume.

Match the 45-degree angle

Using the Wet Hairstyling knowledge point

  • Holding the hair at a \(45^\circ\) angle down from the base (directed away from the direction of projection) results in Off-base placement, where the roller sits completely off its base, providing minimal volume.

Match the 125-degree angle

Using the Wet Hairstyling knowledge point

  • Holding the hair at a \(125^\circ\) angle (slightly over-directed but less than \(135^\circ\)) is typically associated with Indentation base or a variation of On-base / Overdirected placement depending on the specific curriculum terminology (often used for specific volume or indentation effects).

Answer:

Based on standard cosmetology and hairstyling guidelines for roller base control:

  • hold the hair at a 135-degree angle $

ightarrow$ On-base (Full base)

  • hold the hair at a 125-degree angle $

ightarrow$ Volume base / Overdirected

  • hold the hair at a 90-degree angle (straight up from the head) $

ightarrow$ Half-base

  • hold the hair at a 45-degree angle from the base $

ightarrow$ Off-base