What is the sum of the measures of the interior angles of a hexagon?

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Question

This question was previously asked in

RRB NTPC 2019 CBT 1 Question Paper (8-Mar-2021) (Shift 2)

$720^\circ$

$1080^\circ$

$150^\circ$

$810^\circ$

The correct answer is

$720^\circ$

Hexagon Interior Angles Sum Calculation

To find the sum of the measures of the interior angles of a polygon, we use a standard formula.

The formula for the sum of the interior angles of a polygon with n sides is:

$ \text{Sum of interior angles} = (n-2) \times 180^\circ $

A hexagon is a polygon with 6 sides. Therefore, for a hexagon, n = 6.

Substitute n = 6 into the formula:

$ \text{Sum} = (6 - 2) \times 180^\circ $

Calculate the value:

$ \text{Sum} = 4 \times 180^\circ $

$ \text{Sum} = 720^\circ $

Thus, the sum of the measures of the interior angles of a hexagon is $720^\circ$.

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