Question

the side BA and DC of a quadrilateral ABCD are produced as shown in the figure. Prove that a+b=x+y​

Answer 1

Answer:

Step-by-step explanation:

Here ya go!

+∠DAB=180  

 

⟹∠DAB=180  

∠BCD=180  

⟹∠BCD=180  

and ∠A+∠B+∠C+∠D=360  

 

⟹180−b+x+180−a+y=360

⟹x+y=360−180+b−180+a

∴x+y=a+b