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

$90^{\circ}$

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$30^{\circ}$

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$45^{\circ}$

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$60^{\circ}$

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Solution

The correct option is A
$90^{\circ}$

x+2x+3x+6x= $180^{\circ}$

$\Rightarrow$ x = $15^{\circ}$

$\Rightarrow$ 6x = $90^{\circ}$

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If the angle on a straight line is divided in the ratio 1:5:6, then find the measure of the smallest angle?

153^{\circ}

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Draw an angle of measure $153^{\circ}$ and divide it into four equal parts.

The angles $∠ 1, ∠ 2, ∠ 3, ∠ 4$ are in the ratio 1 : 2: 3: 4. The measure of the largest angle is ___ degrees.

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