Finding Missing Angles in a Polygon

Flashcards covering the mathematical formula for the sum of interior angles in polygons and step-by-step calculations for finding missing angles.

The formula used to calculate the sum of interior angles ($S$) in a polygon with $n$ sides is __________.

$$S = (n - 2) \times 180^\text{o}$$

In the formula for the sum of interior angles, the variable __________ represents the number of sides of the polygon.

$$n$$

For a polygon with 6 sides, the sum of the interior angles is calculated as $S = (6 - 2) \times$ __________.

$$180^\text{o}$$

The total sum of the interior angles for a hexagon ($n = 6$) is __________.

$$720^\text{o}$$

In the provided example, the sum of the known angles ($90^\text{o} + 125^\text{o} + 120^\text{o} + 95^\text{o} + 150^\text{o}$) is __________.

$$580^\text{o}$$

In the equation $720^\text{o} = 580^\text{o} + x$, the value of the missing angle $x$ is __________.

$$140^\text{o}$$

Applying the formula to a 6-sided polygon involves multiplying the value __________ by $180^\text{o}$.

$$4$$