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

The correct option is B Given, x =30^∘, So, 2x = 60^∘ Also, 2x + 3y = 180^∘ (linear pair) Replacing x in the above equation, 60^∘ + 3y = 180^∘ 3y = 120^∘ y = ...

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Standard VII

Mathematics

Linear Pair of Angles

In the figure...

Question

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

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Solution

The correct option is B

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

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

Replacing x in the above equation,
$60^{\circ} + 3 y = 180^{\circ}$

$3 y = 120^{\circ}$

$y = 40^{\circ}$

The value of $6 y - 3 x = 150^{\circ}$

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In the figure below, x=30∘. The value of 6y–3x is ___.

The correct option is B Given, x=30∘, So, 2x=60∘ Also, 2x+3y=180∘ (linear pair) Replacing x in the above equation, 60∘+3y=180∘ 3y=120∘ y=40∘ The value of 6y−3x=150∘

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

The correct option is B

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

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

Replacing x in the above equation,
$60^{\circ} + 3 y = 180^{\circ}$

$3 y = 120^{\circ}$

$y = 40^{\circ}$

The value of $6 y - 3 x = 150^{\circ}$