In a kite $ABCD$ with $AB = AD$ and $CB = CD$, which pair of opposite angles is equal?

In a kite $ABCD$ with $AB = AD$ and $CB = CD$, which pair of opposite angles is equal?
  1. $\angle A$ and $\angle C$
  2. $\angle B$ and $\angle D$
  3. Both pairs
  4. Neither pair

Solution

In a kite, the angles between unequal sides are equal. With $AB = AD$ and $CB = CD$, the equal angles are $\angle B$ and $\angle D$.

Asked in: IMO

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