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

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Solution

Evaluate the number of triangles that can be formed based on given information:
According to the angle sum property of a triangle, the sum of the interior angles of a triangle must be $180 °$
The sum of the given angles $= 53 ° + 64 ° + 63 ° = 180 °$
As the given angles satisfy the angle sum property of a triangle, infinitely many triangles can be drawn with the given angles.
Hence, infinitely many triangles can be drawn with the given angles.

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