Question

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

• A. $1$
• B. $2$
• C. None
• D. More than $2$

Answer 1

The correct option is D More than $2$

The three angles given are ${54}^{\circ }$, ${64}^{\circ }$, ${63}^{\circ }$
Now, sum of angles = $53+64+63$
Sum of angles = ${180}^{\circ }$
Sum of angles of triangle is ${180}^{\circ }$.

Hence, infinitely many triangles can be formed with these three angles.