How many triangles can be drawn
Question:

How many triangles can be drawn having its angles as 45°, 64° and 72°? Give reason for your answer.

Solution:

None, the sum of given angles = 45° + 64° + 72° = 181° ≠ 180°.

Hence, we see that sum of all three angles is not equal to 180°. So, no triangle can be drawn with the given angles.