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Lines and Angles
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09/07/2021 12:23 pm
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In Figure, if x+y = w+z, then prove that AOB is a line.
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09/07/2021 12:26 pm
For proving AOB is a straight line, we will have to prove x + y is a linear pair
i.e. x + y = 180°
We know that the angles around a point are 360°
x + y + w + z = 360°
In the question, it is given that,
x + y = w + z
(x + y) + (x + y) = 360°
2(x + y) = 360°
∴ (x + y) = 180° (Hence proved)