What is the sum of the interior angles of a quadrilateral?

Prepare for the 4th Grade Terranova Test with dynamic flashcards and detailed multiple-choice questions. Enhance your knowledge with descriptive explanations and study tips to ensure success on your exam!

Multiple Choice

What is the sum of the interior angles of a quadrilateral?

Explanation:
The sum of interior angles in a four-sided figure is 360 degrees. You can see this by splitting the shape with a diagonal into two triangles. Each triangle adds up to 180 degrees, so together they total 360 degrees. More generally, a polygon with n sides has a total interior angle sum of (n − 2) × 180. For four sides, that’s (4 − 2) × 180 = 360. The other values correspond to different numbers of sides: 180 degrees for a triangle, 540 for a pentagon, and 720 for a hexagon.

The sum of interior angles in a four-sided figure is 360 degrees. You can see this by splitting the shape with a diagonal into two triangles. Each triangle adds up to 180 degrees, so together they total 360 degrees. More generally, a polygon with n sides has a total interior angle sum of (n − 2) × 180. For four sides, that’s (4 − 2) × 180 = 360. The other values correspond to different numbers of sides: 180 degrees for a triangle, 540 for a pentagon, and 720 for a hexagon.

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