in following figure if x+y = y+x then that AOB is line
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Step-by-step explanation:
as given X + y = w + z
to prove a ab is a line or X + y = 180° ( linear pair )
according to the question
X + y + w + z = 360° ( angle around a point )
( X + y) + (w + z) = 360° ( given X + y = w + z )
2(x + y) = 360°
(X + y) = 180°
hence X + y make a linear pair
therefore a ab is a straight line
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