Question

the diagram shows a regular polygon. what is the value of x? write your answer as an integer or as a decimal rounded to the nearest tenth. x =

Explanation:

Step1: Identify the polygon type

The diagram shows a regular quadrilateral (a square or rhombus, but since it's regular, all angles are equal). A regular quadrilateral has 4 sides. The formula for the measure of an exterior angle of a regular polygon is $\frac{360^\circ}{n}$, where $n$ is the number of sides.

Step2: Calculate the exterior angle

For a regular quadrilateral, $n = 4$. So, the measure of each exterior angle $x$ is $\frac{360^\circ}{4}$.
$$x=\frac{360}{4}=90^\circ$$

Answer:

90