the diagram shows a regular polygon.\nwhat is the value of $x$?\nwrite your answer as an integer or as a…

the diagram shows a regular polygon.\nwhat is the value of $x$?\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\n$x = \\square^{\\circ}$

the diagram shows a regular polygon.\nwhat is the value of $x$?\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\n$x = \\square^{\\circ}$

Answer

Explanation:

Step1: Identify the polygon type

The diagram shows a regular polygon with $n = 4$ sides (a square).

Step2: Identify the angle type

The angle $x$ is an exterior angle of the regular polygon.

Step3: Apply exterior angle formula

For any regular polygon, the exterior angle is $x = \frac{360^{\circ}}{n}$.

Step4: Calculate the value

$$x = \frac{360^{\circ}}{4} = 90^{\circ}$$

Answer:

x = 90