Question

State which of the following sets of angles will form a triangle?

${30}^{\circ },{40}^{\circ },{110}^{\circ }$.

Answer 1

Check if the given angles can form a triangle:

According to “angle sum property of triangle”, sum of all the angles in the triangle is always ${180}^{\circ }$.

Now, sum of the given angles $={30}^{\circ }+{40}^{\circ }+{110}^{\circ }={180}^{\circ }$.

Since, the sum of all three angles is ${180}^{\circ }$, therefore triangle will be formed from these sets of angles.

Hence, the angles ${30}^{\circ },{40}^{\circ },{110}^{\circ }$ will form a triangle.