One angle of a pentagon is $140^{\circ}$ . If the remaining angles are in the ratio 1 : 2 : 3 : 4. The size of the greatest angle is:

150^{\circ}

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180^{\circ}

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160^{\circ}

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170^{\circ}

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Solution

The correct option is C $160^{\circ}$
Let Remaining angles be
$x, 2 x, 3 x, 4 x$
& $x + 2 x + 3 x + 4 x + 140^{\circ} = 540$
$\Rightarrow x = 40^{\circ}$
$∴$ largest angle $= 4 x$
$= 160^{\circ}$

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One angle of a pentagon is 140∘. If the remaining angles are in the ratio 1 : 2 : 3 : 4. The size of the greatest angle is:

The correct option is C 160∘Let Remaining angles be x,2x,3x,4x& x+2x+3x+4x+140∘=540⇒x=40∘ ∴ largest angle =4x=160∘

One angle of a pentagon is $140^{\circ}$ . If the remaining angles are in the ratio 1 : 2 : 3 : 4. The size of the greatest angle is:

The correct option is C $160^{\circ}$
Let Remaining angles be
$x, 2 x, 3 x, 4 x$
& $x + 2 x + 3 x + 4 x + 140^{\circ} = 540$
$\Rightarrow x = 40^{\circ}$
$∴$ largest angle $= 4 x$
$= 160^{\circ}$