Question

find it out guys ??????

Answer 1

$\huge\orange{Hey mate!!!} ️$

✨ Here's ur answer

Ans. We need to prove that AOB is a line.

We are given that x+y=w+z

We know that the sum of all the angles around a fixed point is 360°

Thus, we can conclude that <aoc+<boc+<aod+<bod=360°

Or x+y+w+z=360°

But, x+y=w+z(Given).

2(y+x)=360°

x+y=180°

From the given figure, we can conclude that y and x form a linear pair.

We know that if a ray stands on a straight line, then the sum of the angles of linear pair formed by the ray with respect to the line is

Therefore, we can conclude that AOB is a line.

Answer 2

x+ y +w + z=360°(sum of all angles is 360°)
x+y+x+y=360°( it is given that x+y=w+y)
2x+2y=360°
x+y=360/ 2
x+y=180
they form linear pair
so,AOB is a line
hope that this will help you