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Klio2033 [76]
3 years ago
8

The sum of the interior angles of a quadrilateral equals. 180 270 360 540

Mathematics
2 answers:
lys-0071 [83]3 years ago
7 0
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.

Hope this helps!
Brainliest is always appreciated if you feel its deserved! :)<span />
bezimeni [28]3 years ago
3 0

Answer:

The sum of the interior angles of a quadrilateral equals <u>_</u><u>360° </u>

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 <u>_</u><u>360° </u>

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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