The sum of interior angles of a quadrilateral is?

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Master the Certify Teacher EC-6 (391) Mathematics Test. Use flashcards and multiple choice questions with explanations. Boost your confidence and excel in your exam!

Multiple Choice

The sum of interior angles of a quadrilateral is?

Explanation:
Understanding how the interior angles add up in polygons is key here. For any polygon with n sides, you can divide it into (n−2) triangles, and each triangle’s interior angles sum to 180 degrees. So the total is (n−2)×180. A quadrilateral has 4 sides, giving (4−2)×180 = 360 degrees. You can see this by drawing a diagonal to split the quad into two triangles; each triangle contributes 180 degrees, adding up to 360 for the four interior angles.

Understanding how the interior angles add up in polygons is key here. For any polygon with n sides, you can divide it into (n−2) triangles, and each triangle’s interior angles sum to 180 degrees. So the total is (n−2)×180. A quadrilateral has 4 sides, giving (4−2)×180 = 360 degrees. You can see this by drawing a diagonal to split the quad into two triangles; each triangle contributes 180 degrees, adding up to 360 for the four interior angles.

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