Question

10. If x+y =z+w, then prove that AOB is s straight line.​

Answer 1

x+y+z+w = 360°(angles at a point)

x+y+(x+y)=360°(x+y=w+z)

2(x+y)=360°

x+y=360°

So AOB is a straight line( acc. to converse of linear pair axiom)

Answer 2

Hey dear here is ur answer

x+y=180( linear pair)

w+z=180( linear pair)

so ,

x+y+w+z=180+180

x+y+w+z=360( adding 180+180=360)

if we write w+z =x+y according to question

so,

x+y+x+y=360

2x+2y=360

x+y=360/2

x+y=180

so AOB is a straight line

Hope its help u

Plz mark as brainlist