The sum of the angles in a quadrilateral is 360°
We can use the information that the sum of interior angles for any triangle is
180° to explore the sum of the
interior angles of any quadrilateral. We must first recognize that any
given quadrilateral is composed of two triangles. Since the sum of the interior
angles of a triangle is 180°, then the sum of the interior angles of the
quadrilateral would be 360° (180° + 180° = 360°).
We can also cut out quadrilaterals of various shapes and sizes. Use a protractor to draw arcs between the arms of each interior angle. Cut out each angle along the arc and arrange them so that their vertices are adjacent. We will see that the four angles of any triangle form a full circle (360°).
Sum of angles in a quadrilateral
The sum of the angles of a quadrilateral equals 360 degrees. Cut out each vertex and arrange each side adjacent to one another. A 360 degree angle is formed.
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