A straight angle is divided into four parts in the ratio 1:2:3:6. is the measure of the largest angle.

90^{\circ}

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30^{\circ}

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45^{\circ}

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Solution

The correct option is A $90^{\circ}$
Let x be the smallest angle, then the angles will be $x, 2 x, 3 x, 6 x$
The largest angle is $6 x$ .

$x + 2 x + 3 x + 6 x = 180^{\circ}$
$\Rightarrow 12 x = 180^{\circ}$
$\Rightarrow x = 15^{\circ}$
$\Rightarrow 6 x = 90^{\circ}$

The largest angle is $90^{\circ}$ .

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