In the figure, the value of $ x$ is:

46° 100°(X) 64°

$110 °$

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$46 °$

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$64 °$

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$150 °$

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Solution

The correct option is D
$150 °$

Calculate the value of $x$
As we know that the sum of all angles around a point is always $360 °$ .
So, $∠ A O B + ∠ B O C + ∠ C O D + ∠ D O A = 360 °$
$\Rightarrow$ $100 ° + x + 64 ° + 46 ° = 360 °$
$\Rightarrow$ $x + 210 ° = 360 °$
$\Rightarrow$ $x = 360 ° - 210 °$
$\Rightarrow$ $x = 150 °$
Hence, $x = 150 °$ , so, option D is the correct option.

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