Question

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

Answer 1

Answer:

Show the figure pleasr

Answer 2

Step-by-step explanation:

For proving AOB is a straight line, we will have to prove x+y is a linear pair

i.e. x+y = 180°

We know that the angles around a point are 360° so,

x+y+w+z = 360°

In the question, it is given that,

x+y = w+z

So, (x+y)+(x+y) = 360°

2(x+y) = 360°

∴ (x+y) = 180° (Hence proved).