In the figure below- x-30- Find the value of 6 y-3 x in degrees-

The correct option is A 150Given, x = 30^∘, So, 2x = nbsp;60^∘ Also, 2x + 3y = 180^∘ nbsp; (linear pair) Replacing x in the above equation, 60^∘ + 3y = nb ...

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Standard VII

Mathematics

Linear Pair of Angles

In the figure...

Question

In the figure below, x = $30^{\circ}$ . Find the value of (6y – 3x) in degrees.

150

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Solution

The correct option is A 150
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
$6 y - 3 x$
$= 6 (40) - 3 (30)$
$= 240^{\circ} - 90^{\circ}$
$= 150^{\circ}$

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In the figure below, x = 30∘. Find the value of (6y – 3x) in degrees. 150

The correct option is A 150Given, 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 =6(40)−3(30) =240∘ −90∘ =150∘

In the figure below, x = $30^{\circ}$ . Find the value of (6y – 3x) in degrees.

150