Question

please answer me this question​

Answer 1

Answer:

Given = x + y = w + z

To prove = AOB is a line.

Solution = The sum of all the angles round the point is 360°

x + y + z + w = 360°

x + y + x + y = 360° ( x + y = w + z)

2x + 2y = 360°

2 ( x + y) = 360°

x + y = 180°

Therefore AOB is a line .

If the sum of two adjacent angles is 180° , then the non common arms of the angles form a line.