Math, asked by gouravgill570papg9d, 1 year ago

prove that all the angles of a trapezium is 360

Answers

Answered by abhishekadhikari22
2
Sum of all the angles of triangle is 180
Attachments:
Answered by Raheeb
4

Answer:

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 )

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