Answer to Question #217339 in Geometry for Varylan

Question

Let's consider any quadrilateral. What is The sum of it's interior angles in degrees?

Answer 1

A quadrilateral has 4 sides. From this idea, the sum of its interior angles will be equal to the sum of interior angles of n−2 triangles.

where n=4

number of triangles in this case = 4-2= 2 triangles

interior angles of a triangle add up to 180^o.

for the two triangles, $2\times 180 ^o=360^o$

Thus, the sum of the interior angles of any quadrilateral is 360°.