A polygon has an angle sum of 360° and each angle measures 90°. What is the polygon?
A closed shape having sides and vertices is known as a polygon. If a polygon has interior angles and sides are equal, it is known as a regular polygon.
Answer: Rectangle and square are polygons that have an angle sum of 360° and each angle measures 90°.
Let's solve it step by step.
Explanation:
The sum of interior angles of a polygon with 'n' sides is: (2n - 4) × 90°
⇒ (2n - 4) × 90° = 360°
2n - 4 = 4
2n = 4 + 4
2n = 8
n = 4
Here, a rectangle and a square are polygons that have an angle sum of 360°, and each angle measures 90°
Let's get an idea with the given figure shown below.
Hence, rectangle and square are polygons that have an angle sum of 360°, and each angle measures 90°
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