Question

The sum of the measures of three angles of a triangle is greater than $180°$. State whether the statement is True or False.

• A. True
• B. False

Answer 1

The correct option is B False

Determine if the statement is True or False.

According to the angle sum property of a triangle, the sum of all three angles of a triangle is $180°$

A triangle is a $2\mathrm{d}$ shape formed by three line segments.

The angle sum property formula for any polygon $n$ sides :

$S=(n-2)\times 180°$

Where '$n$' represents the number of sides.

The number of sides of a triangle is $3$

So,

$$\begin{gathered} S=(3-2)\times 180° \\ \Rightarrow S=1\times 180° \\ \Rightarrow S=180° \end{gathered}$$

Therefore, the sum of the interior angles of a triangle is always equal to $180°$.

Hence, the given statement is False.