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Congruence of Line Segments and Angles

Find the valu...

Question

Find the value of x from the following figure.

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Solution

REF.Image.
As we know,
$∠ A O B = 180^{\circ}$
& $∠ A O B = ∠ A O C + ∠ C O D + ∠ B O D .$
So, $2 x + 4 x + x + 3 x = 180$
$10 x = 180$
$x = 18$

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