Elementary Vector Algebra Problem

Algebra Level pending

Two vectors \( z \) and \( w \) are such that \( || 2 z - w || = 5 \), \( || z + 2 w || = 7 \), and \( || z + w || = 5 \). What is the angle between \(z\) and \(w\), in degrees, correct to two decimal places.

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