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If the sum of the interior angles of a quadrilateral is 360 degrees, what is the

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Question: If the sum of the interior angles of a quadrilateral is 360 degrees, what is the sum of the exterior angles?

Options:

  1. 180 degrees
  2. 360 degrees
  3. 270 degrees
  4. 90 degrees

Correct Answer: 360 degrees

Solution:

The sum of the exterior angles of any polygon is always 360 degrees.

If the sum of the interior angles of a quadrilateral is 360 degrees, what is the

Practice Questions

Q1
If the sum of the interior angles of a quadrilateral is 360 degrees, what is the sum of the exterior angles?
  1. 180 degrees
  2. 360 degrees
  3. 270 degrees
  4. 90 degrees

Questions & Step-by-Step Solutions

If the sum of the interior angles of a quadrilateral is 360 degrees, what is the sum of the exterior angles?
  • Step 1: Understand what a quadrilateral is. A quadrilateral is a shape with four sides.
  • Step 2: Know that the sum of the interior angles of a quadrilateral is 360 degrees.
  • Step 3: Learn about exterior angles. An exterior angle is formed when you extend one side of the quadrilateral.
  • Step 4: Remember that the sum of the exterior angles of any polygon, including a quadrilateral, is always 360 degrees, regardless of the number of sides.
  • Step 5: Conclude that since the sum of the exterior angles of a quadrilateral is 360 degrees, the answer to the question is 360 degrees.
  • Interior and Exterior Angles – The relationship between the sum of interior angles and the sum of exterior angles in polygons.
  • Properties of Polygons – Understanding that the sum of the exterior angles of any polygon is always 360 degrees, regardless of the number of sides.
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