in the given figure, if x+y=w+z, then prove that AOB is a line
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Question :-
In figure, if x + y = w + ⇒, then prove that AOB is a line.
Answer :-
Sum of all the angles at a point = 360°
∴ x + y + ⇒ + w = 360° or, (x + y) + (⇒ + w) = 360°
But (x + y) = (⇒ + w) [Given]
∴ (x + y) + (x + y) = 360° or,
2(x + y) = 360°
or, (x + y) = 360° /2 = 180°
∴ AOB is a straight line.
Plz mrk as brainliest ❤
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