Question

prove that sum of all angles of trapezium is 360​

Answer 1

Step-by-step explanation:

We form our diagram, As :

Here ABCD is a trapezium and AB | | CD

Take AD as transversal line and we know AB | | CD , So

∠ BAD + ∠ CDA = 180° ----- ( 1 ) ( Consecutive interior angles )

And

Take BC as transversal line and we know AB | | CD , So

∠ ABC + ∠ BCD = 180° ----- ( 2 ) ( Consecutive interior angles )

Add equation 1 and 2 we get

∠ ABC + ∠ BCD + ∠ BAD + ∠ CDA = 360°

Hence ,

The sum of all angles of trapezium is 360° . ( Hence proved )