In the figure below- x-30- The value of 6 y-3 x isA- 60-B- 150-C- 120-D- 180-

The correct option is B 150^∘ Given: nbsp;x = 30^∘ So, nbsp; nbsp; 2x = nbsp;60^∘ Also, 2x + 3y = 180^∘ nbsp; (linear pair) On substituting the valu ...

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Byju's Answer

Standard VII

Mathematics

Angles on a Straight Line

In the figure...

Question

In the figure below, $x = 30^{\circ} .$ The value of $(6 y - 3 x)$ is ___.

$60^{\circ}$

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$150^{\circ}$

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$180^{\circ}$

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$120^{\circ}$

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Solution

The correct option is B
$150^{\circ}$

Given: $x = 30^{\circ}$
So, $2 x = 60^{\circ}$

Also, $2 x + 3 y = 180^{\circ}$ (linear pair)

On substituting the value of $2 x$ in the above equation,

$\Rightarrow 60^{\circ} + 3 y = 180^{\circ}$

$\Rightarrow 3 y = 120^{\circ}$

$\Rightarrow y = 40^{\circ}$

$∴$ the value of $6 y - 3 x$
$= 6 \times 40^{\circ} - 3 \times 30^{\circ}$
$= 240^{\circ} - 90^{\circ}$
$= 150^{\circ}$

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The correct option is B 150∘ Given: x=30∘ So, 2x=60∘ Also, 2x+3y=180∘ (linear pair) On substituting the value of 2x in the above equation, ⇒60∘+3y=180∘ ⇒3y=120∘ ⇒y=40∘ ∴ the value of 6y−3x =6×40∘−3×30∘ =240∘−90∘ =150∘

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