Question

Prove that the sum of all angles of a trapezium is 360 in detail pls

Answer 1

because it is a qudrillatral , it has 360°
a quadrilateral is composed of two triangles and for it 180+180=360

Answer 2

A trapezium has 4 sides.

Sum of interior angles of an 'n' sided polygon is (n - 2)180.

Here, for trapezium, let n = 4.

Sum of interior angles

= (n - 2)180

= (4 - 2)180

= 2 x 180 = 360

∴ For any trapezium, the sum of all its interior angles is 360°.