Question

Question 4
How many triangles can be drawn having its angles as ${45}^{\circ },{64}^{\circ }and{72}^{\circ }$? Give the reason for your answer.

Answer 1

We can't draw any triangle using the given angles.
Sum of given angles $={45}^{\circ }+{64}^{\circ }+{72}^{\circ }={181}^{\circ }\ne {180}^{\circ }$.
We see that sum of all three angles is not equal to ${180}^{\circ }$.
So, no triangle can be drawn with the given angles.