Mathematics

Problem

Quadrilateral EFGH has an exterior angle at vertex E measuring

120^{\circ}

and an exterior angle at vertex G also measuring

120^{\circ}

. No other exterior angles are equal. Which of the following statements is correct? a)

\text{EFGH must be a kite.}

\text{EFGH must be a parallelogram.}

\text{EFGH has exactly one pair of equal opposite interior angles.}

\text{EFGH is necessarily an isosceles trapezium.}