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