Question

in the fig. if x+y=w+z then prove that AOB is a line ​

Answer 1

Answer:

if x+y=w+z

(x+y)+(x+y)=360°(because x+y=w+z)

2xy=360°

xy=360°/2

xy=180°

AOB=180°(Hence,it is a straight line ).

Answer 2

Answer:

x+y+w+z=360

But x+y=w+z

∴ x+y+x+y=360

2(x+y)=360

x+y=180

∴ AOB is a line