Question

prove that the sum of the a quardriateral is 360°​

Answer 1

We know that the sum of the angles of a triangle is 180°. ⇒ ∠A + ∠B + ∠C + ∠D = 360° [using (i) and (ii)]. Hence, the sum of all the four angles of a quadrilateral is 360°.

Answer 2

Answer:

To find the sum of the interior angles of a quadrilaterals, divide it up into triangles... There are two triangles...  Because the sum of the angles of each triangle is 180 degrees...  We get



So, the sum of the interior angles of a quadrilateral is 360 degrees