MathBrush

Folded napkin — the angle at the crease

During a busy dinner service, a waiter folds a rectangular paper napkin along a diagonal crease running from its top-left corner to its bottom-right corner, as shown. At the bottom-right corner, the angle between the right-hand edge of the napkin and the folded-over edge is 24°, and x is the angle between that folded edge and the crease. Find angle x.

Opening the drawing…

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