Math Problem Statement

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

Solution

To solve for xx, we need to calculate the interior angle of a regular polygon. Here's the general approach:

Step 1: Formula for the Interior Angle of a Regular Polygon

The formula to find the measure of an interior angle of a regular polygon is: Interior Angle=(n2)180n\text{Interior Angle} = \frac{(n-2) \cdot 180}{n} where nn is the number of sides of the polygon.

Step 2: Relating xx to the Interior Angle

In the

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Math Problem Analysis

Mathematical Concepts

Geometry
Regular Polygons
Interior Angles

Formulas

Interior Angle = (n-2) × 180 / n

Theorems

Sum of Interior Angles of a Polygon

Suitable Grade Level

Grades 6-8