Can a triangle have two obtuse angles? Give reason for your answer.
(NO) An angle whose measure is more than $90^{\circ}$ but less than $180^{\circ}$ is called an obtuse angle.
$A$ triangle cannot have two obtuse angles because the sum of all the interior angles of a triangle is always exactly $180^{\circ}$.
If a triangle had two obtuse angles,the sum of these two angles alone would be greater than $90^{\circ} + 90^{\circ} = 180^{\circ}$.
Since this sum exceeds the total angle sum property of a triangle $(180^{\circ})$,it is impossible for a triangle to have two obtuse angles.
$A$ triangle cannot have two obtuse angles because the sum of all the interior angles of a triangle is always exactly $180^{\circ}$.
If a triangle had two obtuse angles,the sum of these two angles alone would be greater than $90^{\circ} + 90^{\circ} = 180^{\circ}$.
Since this sum exceeds the total angle sum property of a triangle $(180^{\circ})$,it is impossible for a triangle to have two obtuse angles.
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