Question

The sum of all the angles of a quadrilateral is $180°$. State whether the statement is true or false.

• A. True
• B. False

Answer 1

The correct option is B False

Check whether the sum of all the angles of a quadrilateral is $180°$ or not:

We know that the sum of all interior angles of a polygon is $\left(\mathrm{n}-2\right)\times 180°$, where $\mathrm{n}$ is the number of sides of the polygon.

A quadrilateral has $4$ sides.

Then the sum of all the angles of a quadrilateral $=\left(4-2\right)\times 180°$

$$\begin{gathered} =2\times 180° \\ =360° \end{gathered}$$

Thus the sum of all the angles of a quadrilateral is $360°$.

Therefore, the given statement is false.