Question

The sum of any two angles of a triangle is always greater than the third angle. State whether the statement is true or false.

• A. True
• B. False

Answer 1

The correct option is B False

Explanation for the statement:

Given that the sum of any two angles of a triangle is always greater than the third angle.

We have to determine if the given statement is true or false.

Consider $△\mathrm{ABC}$ in which $\angle \mathrm{A}=20°,\angle \mathrm{B}=50°,\angle \mathrm{C}=110°$

Here $\angle \mathrm{A}+\angle \mathrm{B}=20°+50°=70°$ which is not greater than the third angle.

$\angle \mathrm{A}+\angle \mathrm{B}<\angle \mathrm{C}$

Thus, we can say that the sum of any two angles of a triangle is not always greater than the third angle.

Therefore, the given statement is false.