Question

If x + y =w+z then prove that AOB is a line?
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Answer 1

Answer:

we knoa that sum of angles around a point is 360°

x+y+w+z=360°

(x+y)+(x+y)=360° {°.° x+y=w+z}

2 (x+y)=360°

x+y=360°/2

x+y=180°

so ABO ia a line becausethe sum of angles on a line is equal to 180°