Question

How many triangles can be drawn having its angles as ${53}^{\circ },{64}^{\circ }$ and ${63}^{\circ }$ ?

• A. Unique triangle
• B. Two triangles
• C. Infinitely many triangles
• D. None of these

Answer 1

The correct option is C Infinitely many triangles

The sum of given angles $={53}^{\circ }+{64}^{\circ }+{63}^{\circ }={180}^{\circ }$
Here, we see that sum of all interior angles of triangles is ${180}^{\circ }$, so infinitely many triangles can be drawn with sides of different length.