Question

in X + Y is equals to w + Z theme prove that a or b is line

Answer 1

Heya..

X+y = w+z ....(given) ....(1)
x+y+w+z = 360° ...(angle sum property)
x+y+x+y = 360° ......from(1)
2x+2y= 360°
2(x+y)=360°
x+y = 360/2
x+y = 180°
As x+y makes a linear pair, thus AOB is a line