Infinitely many triangles can be drawn having its angles as 53°, 64° and 63°.
Justification:
According to angle sum property,
We know that the sum of all the interior angles of a triangle should be = 180°.
According to the question,
We have the angles 53°, 64°, and 63°.
Sum of these angles = 53° + 64° + 63°
= 180°
Hence, the angles satisfy the angle sum property of a triangle.
Therefore, infinitely many triangles can be drawn having its angles as 53°, 64° and 63°.