Question

$\tt \: qualified \: \: answer \: \: needed$
in figure if x + y = w + z then prove that AOB is a line ??

no copied answers

dont spam :)

​

Answer 1

Answer:

$\tt \: qualified \: \: answer \: \: needed$

in figure if x + y = w + z then prove that AOB is a line ??

Answer 2

Answer:

As Given, x+y=w+z

To Prove: AOB is a line or x+y=180

∘

(linear pair.)

According to the question,

x+y+w+z=360

∘

∣ Angles around a point.

(x+y)+(w+z)=360

∘

(x+y)+(x+y)=360

∘

∣ Given x+y=w+z

2(x+y)=360

∘

(x+y)=180

∘

Hence, x+y makes a linear pair.

Therefore, AOB is a straight line.