Question

In Fig. 6.16, if x +y=w+ z, then prove that AOB
is a line.
B
W
N
A
D
Fig, 6.16​

Answer 1

Answer:

its your answer

Step-by-step explanation:

step1 :- we know that

            x+y+w+z=360°     .......1

step 2 :- put  w+z = x+y in equation 1

               (x+y)+(x+y)=360°

               2(x+y)=360°

                 x+y=360°/2

                  x+y=180°

 which is linear pair.

AOB is a straight 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 ❤