Folding Fun

Geometry Level 2

The corner A A of a piece of rectangular paper A B C D ABCD is folded over the diagonal B D BD as shown in the diagram to the point E E . ∠ A B D = 5 6 ∘ \angle ABD = 56^{\circ} .

Find the value of ∠ C E D \angle CED .


The answer is 34.

Michael Ng by Michael Ng , 22, United Kingdom

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1 solution

Alec Zhang
Jan 3, 2015

Since angle BED = angle BCD = 90, we know that quadrilateral BECD is cyclic. Thus, angle CED = angle DBC = 90 - 56 = 34 degrees.

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