Respuesta :

The sum of the interior angles in any given quadrilateral is always going to be 360.

This means each angle inside the quadrilateral added up with always equal 360 degrees.

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Answer:

The sum of the interior angles of a quadrilateral equals _360°

C is correct.

Step-by-step explanation:

The sum of the interior angles of a quadrilateral equals ______

The quadrilateral has four sides and four angles.

First we draw a diagonal of quadrilateral and it makes two triangle.

Sum of angles of triangle is 180° (Angle sum property of triangle)

A quadrilateral form by two triangle

Sum of interior angle of quadrilateral = 180° + 180°

                                                              = 360°

The sum of the interior angles of a quadrilateral equals _360°

We have a general formula sum of interior angles of polygon.

Sum of angles of polygon having n sides = (n-2)180°

For quadrilateral, n = 4

Sum of angles of quadrilateral = (4-2)180°

                                                   = 360°

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