how many triangles can be drawn having its angles as 45°, 64° and 72°? give the reason for your answer.
How many triangles can be drawn having its angles as 45°, 64°, and 72°?
Answer: A triangle is defined by the angles being exactly 180°. The sum of the given angles is:
[
45° + 64° + 72° = 181°
]
This sum is greater than 180°, which means these angles cannot form a triangle.
Reason: For any triangle, the sum of its interior angles must always equal 180°. If the sum is greater or less than 180°, it is not possible to form a triangle.
Summary: No triangle can be drawn with angles 45°, 64°, and 72° because their sum exceeds 180°, violating the fundamental property of triangle angles.