Can all the angles of a quadrilateral be acute angles? Give reason for your answer.
(N/A) No,all the angles of a quadrilateral cannot be acute angles.
An acute angle is defined as an angle less than $90^{\circ}$.
If all four angles of a quadrilateral were acute,each angle would be less than $90^{\circ}$.
Consequently,the sum of these four angles would be less than $90^{\circ} + 90^{\circ} + 90^{\circ} + 90^{\circ} = 360^{\circ}$.
However,the sum of the interior angles of a quadrilateral is always exactly $360^{\circ}$.
Therefore,it is impossible for all four angles to be acute.
An acute angle is defined as an angle less than $90^{\circ}$.
If all four angles of a quadrilateral were acute,each angle would be less than $90^{\circ}$.
Consequently,the sum of these four angles would be less than $90^{\circ} + 90^{\circ} + 90^{\circ} + 90^{\circ} = 360^{\circ}$.
However,the sum of the interior angles of a quadrilateral is always exactly $360^{\circ}$.
Therefore,it is impossible for all four angles to be acute.
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