Math, asked by sindhukauthankar15, 9 months ago

4. In Fig. 6.16. if x+y=w+z, then prove that AOB is a line.

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Answers

Answered by mvasu1974
13

Step-by-step explanation:

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Answered by MissAngry
6

Question :-

In figure, if x + y = w + z, then prove that AOB is a line.

Answer :-

Sum of all the angles at a point = 360°

∴ x + y + z + w = 360° or, (x + y) + (z + w) = 360°

But (x + y) = (z + 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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