Question
How many triangles can be drawn having its angles as $53^\circ , 64^\circ $ and $63^\circ ?$ Give reason for your answer.

Answer

None, the sum of given angles $= 45^\circ + 64^\circ + 72^\circ = 181^\circ \neq 180^\circ .$
Hence, we see that sum of all three angles is not equal to $180^\circ .$
So, no triangle can be drawn with the given angles.

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