Question

A polygon is shown below . Write down the sum of its exterior angles. Work out the size of angle x

Answer 1

use 360°/ n

Step-by-step explanation:

where n is the number of sides

did you understand like that

Answer 2

The sum of exterior angles in any polygon is always 360 degrees. To find the value of angle x, we need additional information or the specific type of polygon.

Step-by-step explanation:

In geometry, the sum of exterior angles in any polygon is constant and equals 360 degrees. This fundamental property applies to all polygons, regardless of the number of sides. The formula for calculating the sum of exterior angles
`(\( \Sigma E \))` is given by:

`\[ \Sigma E = 360^\circ \]`

This result arises from the fact that, when you traverse the perimeter of a polygon, turning at each vertex, the sum of the exterior angles formed at those vertices is always 360 degrees. This property is a consequence of the parallel lines and transversals formed by the sides of the polygon.

Now, to determine the value of angle x, we would need additional details about the polygon or the measurement of other angles in the figure. If the polygon is regular, meaning all sides and angles are equal, we could use the formula for each exterior angle (E) in a regular polygon with (n) sides:

`\[ E = (360^\circ)/(n) \]`

This information would allow us to calculate the specific value of angle x based on the characteristics of the given polygon. Without additional details, the precise measurement of angle x cannot be determined.