Question

4. In Fig. 6.16, if x +y =w+z, then prove that AOR
is a line.​

Answer 1

Answer:

x+y*w+y=360

2(x+y)=360

X+y=360by2

=180

alos

x+y=180

x+y=w+y

180=180

Answer 2

Given: x + y = w + z

To prove,: AOR is a line or x + y = 180° (Linear pair)

Proof: According to the question

=> x + y + w + z = 360° (Angles at a point)

=> (x + y) + (w + z) = 360° (It is given that x + y = w + z )

=> 2 (x + y) = 360°

=> (x + y) = 180°

Therefore, x +y = 180° Hence, it makes a linear pair and AOR is a line

Proved.