Question

please answer this question ​

Answer 1

We know that

x+y+w+z=360° {sum of all angles round the point is 360°}

(x+y)+(w+z)=360°

Hence (x+y)+(x+y)=360°

2(x+y)=360°

x+y=180°

hence

w+z=180°

NOW X+Y=180° AND W+Z=180°

If the sum of two adjacent angles is 180° .

then non common arms a line {Reverse Linear Pair}

Hence AOB is a line.

Hence Proved