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

The correct option is A 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 (6y – 3x) 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,
$60^{\circ}$ + 3y = $180^{\circ}$

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

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

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 (6y – 3x) 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,
$60^{\circ}$ + 3y = $180^{\circ}$

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

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

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