It is given that the triangle has its angles as 53°, 64°, and 63°.

Upon adding these, we get

⇒ Sum of the three angles = 53° + 64° + 63°

⇒ Sum of the three angles = 180° - - - - (i)

We know, that the sum of all the angles of a triangle is equal to 180°.

Also, from (i), we find out that the sum of the given angles of the triangle is equal to 180°.

Thus, infinite number of triangles can be drawn having angles as 53°, 64°, and 63°.