Question

in the given figure if x+y =w+z then prove that
AOB IS line​

Answer 1

Step-by-step explanation:

Let x+y = w+z = 0

Complete angle at point 0 = 360°

∆BOC+∆COA+∆AOD+∆DOB = 360°

x+y+w+z = 360°

a+a = 360°

2a = 360°

a = 360°/2 = 180°

=>x+y = 180°

=>∆AOB = 180°

which is a supplementary angle

Hence proved that AOB is line.