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The exterior angles of a polygon add up to? 90^circ 180^circ 200^circ 360^circ

Pergunta

The exterior angles of a polygon
add up to?
90^circ 
180^circ 
200^circ 
360^circ

The exterior angles of a polygon add up to? 90^circ 180^circ 200^circ 360^circ

Solução

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ManoelProfissional · Tutor por 6 anos

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The correct answer is $360^{\circ }$.<br /><br />The sum of the exterior angles of any polygon is always $360^{\circ }$. This is because when you walk around a polygon, you make one full turn, which is $360^{\circ }$. The exterior angles are formed by extending each side of the polygon and measuring the angle between the extended side and the adjacent side. As you walk around the polygon, you make one full turn, so the sum of the exterior angles is $360^{\circ }$.
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