Can all the angles of a quadrilateral be right angles? Give reason for your answer.
(A) Yes,all the angles of a quadrilateral can be right angles.
According to the angle sum property of a quadrilateral,the sum of all interior angles is $360^{\circ}$.
If each angle is $90^{\circ}$,then the sum of the four angles is $90^{\circ} + 90^{\circ} + 90^{\circ} + 90^{\circ} = 360^{\circ}$.
Since this satisfies the angle sum property,a quadrilateral can have all right angles (e.g.,a rectangle or a square).
According to the angle sum property of a quadrilateral,the sum of all interior angles is $360^{\circ}$.
If each angle is $90^{\circ}$,then the sum of the four angles is $90^{\circ} + 90^{\circ} + 90^{\circ} + 90^{\circ} = 360^{\circ}$.
Since this satisfies the angle sum property,a quadrilateral can have all right angles (e.g.,a rectangle or a square).
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