How many triangles can be drawn having its angles as 45°, 64° and 72

1.	How many triangles can be drawn having its angles as 45°, 64° and 72°? Give reason for your answer.
Answer» No triangle can be drawn having its angles 45°, 64° and 72°. Justification: According to angle sum property, We know that the sum of all the interior angles of a triangle should be = 180°. But, according to the question, We have the angles 45°, 64° and 72°. Sum of these angles = 45° + 64° + 72° = 181°, which is greater than 180°. Hence, the angles do not satisfy the angle sum property of a triangle. Therefore, no triangle can be drawn having its angles 45°, 64° and 72°.

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

Answer»

No triangle can be drawn having its angles 45°, 64° and 72°.

Justification:

According to angle sum property,

We know that the sum of all the interior angles of a triangle should be = 180°.

But, according to the question,

We have the angles 45°, 64° and 72°.

Sum of these angles = 45° + 64° + 72°

= 181°, which is greater than 180°.

Hence, the angles do not satisfy the angle sum property of a triangle.

Therefore, no triangle can be drawn having its angles 45°, 64° and 72°.