Question

1. In fig 6.16, if x + y = w + z, then prove that AOB is a line.

Answer 1

Answer:

hence proved

Step-by-step explanation:

we know that x+y+z+w=360

x+y+x+y=360. (given in the question x+y=w+z)

2x+2y=360

2(x+y)=360

x+y=180

as sum of angles on a line is 180

we can say that AOB is a line

Answer 2

Question :-

In figure, if x + y = w + z, then prove that AOB is a line.

Answer :-

Sum of all the angles at a point = 360°

∴ x + y + z + w = 360° or, (x + y) + (z + w) = 360°

But (x + y) = (z + w) [Given]

∴ (x + y) + (x + y) = 360° or,

2(x + y) = 360°

or, (x + y) = 360° /2 = 180°

∴ AOB is a straight line.

Plz mrk as brainliest ❤