What is the total degree measure of the angles in a quadrilateral?

What is the total degree measure of the angles in a quadrilateral?

• A. 180 degrees
• B. 270 degrees
• C. 360 degrees
• D. 450 degrees

Answer: (C)

In a quadrilateral, which is a polygon with four sides, the total degree measure of the angles always sums to 360 degrees. This can be understood through the process of dividing the quadrilateral into two triangles by drawing a diagonal from one vertex to another. Each triangle has a total of 180 degrees, and since there are two triangles formed in this way, the calculation for the total degree measure becomes 180 degrees plus 180 degrees, resulting in 360 degrees. This property holds true for all quadrilaterals, regardless of their shape (whether they are squares, rectangles, trapezoids, or irregular quadrilaterals). Therefore, the correct answer reflects the fundamental geometric fact that the angles in a quadrilateral total 360 degrees.

In a quadrilateral, which is a polygon with four sides, the total degree measure of the angles always sums to 360 degrees. This can be understood through the process of dividing the quadrilateral into two triangles by drawing a diagonal from one vertex to another.

Each triangle has a total of 180 degrees, and since there are two triangles formed in this way, the calculation for the total degree measure becomes 180 degrees plus 180 degrees, resulting in 360 degrees.

This property holds true for all quadrilaterals, regardless of their shape (whether they are squares, rectangles, trapezoids, or irregular quadrilaterals). Therefore, the correct answer reflects the fundamental geometric fact that the angles in a quadrilateral total 360 degrees.