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In figure 6.16,if x + y=w …

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

Posted by Deep Khehra 6 years, 5 months ago

CBSE > Class 09 > Mathematics

1 answers

Sia ? 6 years, 5 months ago

x + y = w + z . . . .[Given] . . . (1)
As the sum of all angles round a point is equal to 360^o
{tex}\therefore{/tex} x + y + w + z = 360^o
{tex}\therefore{/tex} x + y + x + y = 360^o
{tex}\therefore{/tex} 2(x + y) = 360^o
{tex}\therefore{/tex} {tex}x+y={360^0\over2}{/tex}
{tex}\therefore{/tex} x + y = 180^o
{tex}\therefore{/tex} AOB is a line.

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