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°