Question

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

${50}^{\circ },{120}^{\circ },{10}^{\circ }$

Answer 1

Verifying whether the given angles can form a triangle:

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

Let's find the sum of given angles:

${50}^{\circ }+{120}^{\circ }+{10}^{\circ }={180}^{\circ }$

Since, the sum of these angles is equal to ${180}^{\circ }$, therefore these angles will form a triangle.

Thus, the angles ${50}^{\circ },{120}^{\circ },{10}^{\circ }$ will form a triangle.