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

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CBSE/Class 9/Mathematics Tuition/Class IX-X Tuition

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Zero triangles.. we cant draw triangle with these angles. but the given angles are 45,64.72. if we add those we get 45+64+72=181. so we cannot draw triangle.

Dedicated and responsible teacher from NIT Warangal

The sum of all three angles in any triangle anouamo to 180°. If we add the given angles, i.e., 45°+64°+72°,gives us 181°. So, no triangle exists with the given angles.

Physics Teacher

sum of all angles should be zero


Zero triangles. because we cant draw triangle with these angles. As the given angles are 45,64,72. if we add then we get, we can't draw triangle.


Zero triangle.For a triangle the sum of its three angle=180 degrees..But if we add 45+64+72 we get we can't construct a triangle


Zero triangles.. we cant draw triangle with these angles. but the given angles are 45,64.72. if we add those we get 45+64+72=181. so we cannot draw triangle.


not a single triangle becaues the sum of all anglesof triangle should be 180 degre

Computer Wizard

no traingle can be drawn with this measurements because the total sum of traingle =180 so its exceeds the angle


Only one distinct triangle can be formed.We can make infinite numbers of triangle by scaling up or down its length.


No triangles can be drawn with the three angles mentioned because the sum of all angles in a triangle must be 180, which in this case is not.

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