MathBrush

Practice

Same pattern as Folding angle — find x. New numbers, new story. Try each one on paper, then check the working below — or watch it drawn out, the same way the problem above is.

Question 1

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.

A rectangular napkin folded along the diagonal from its top-left to bottom-right corner, with the lower flap folded up over the crease.24°x

Work it out on paper, then check below. ▶ See the working

Question 2

In her workshop, a kite-maker folds a rectangular sheet of kite fabric along a diagonal crease 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 fabric and the folded-over edge is 16°, and x is the angle between that folded edge and the crease. Find angle x.

A rectangular sheet of kite fabric folded along the diagonal from its top-left to bottom-right corner, with the lower flap folded up over the crease.16°x

Work it out on paper, then check below. ▶ See the working

Question 3

At a campsite, a scout leader folds a rectangular flag along a diagonal crease 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 flag and the folded-over edge is 44°, and x is the angle between that folded edge and the crease. Find angle x.

A rectangular flag folded along the diagonal from its top-left to bottom-right corner, with the lower flap folded up over the crease.44°x

Work it out on paper, then check below. ▶ See the working

The working