Question

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what is the measure of an exterior angle in a square? write your answer as an integer or as a decimal rounded to the nearest tenth.

Explanation:

Step1: Recall exterior angle property

For any polygon, the sum of exterior angles is \(360^\circ\). A square is a quadrilateral with 4 equal exterior angles.

Step2: Calculate one exterior angle

Let \(x\) be the measure of one exterior angle of the square. Since there are 4 exterior angles and their sum is \(360^\circ\), we have the equation \(4x = 360^\circ\). Solving for \(x\), we divide both sides by 4: \(x=\frac{360^\circ}{4}=90^\circ\).

Answer:

\(90\)