Find x- if - 1 - 5x - 15- and - 2 - 28x- angles form linear pair-

The correct option is A 5^∘ ∠ 1 + ∠ 2 = 180^∘ (Linear pair) ⇒ 5x + 15^∘ + 28x = 180^∘ ⇒ 33x = 180^∘ 15 = 165^∘ ...

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Standard IX

Mathematics

Linear Pair

Find x; if ...

Question

Find x; if $∠ 1 = 5 x + 15^{\circ}$ and $∠ 2 = 28 x$ , angles form linear pair.

40^{\circ}

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140^{\circ}

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5^{\circ}

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20^{\circ}

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Solution

The correct option is A $5^{\circ}$
$∠ 1 + ∠ 2 = 180^{\circ}$ (Linear pair)
$\Rightarrow 5 x + 15^{\circ} + 28 x = 180^{\circ}$
$\Rightarrow 33 x = 180^{\circ} - 15 = 165^{\circ}$
$\Rightarrow x = \frac{165^{\circ}}{33} = 5^{\circ}$ .

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[2 MARKS]

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Find x; if ∠1=5x+15∘ and ∠2=28x, angles form linear pair.

The correct option is A 5∘∠1+∠2=180∘ (Linear pair)⇒5x+15∘+28x=180∘⇒33x=180∘−15=165∘⇒x=165∘33=5∘.

Find x; if $∠ 1 = 5 x + 15^{\circ}$ and $∠ 2 = 28 x$ , angles form linear pair.

The correct option is A $5^{\circ}$
$∠ 1 + ∠ 2 = 180^{\circ}$ (Linear pair)
$\Rightarrow 5 x + 15^{\circ} + 28 x = 180^{\circ}$
$\Rightarrow 33 x = 180^{\circ} - 15 = 165^{\circ}$
$\Rightarrow x = \frac{165^{\circ}}{33} = 5^{\circ}$ .