Question

Determine the value of  x ​

Answer 1

Answer:

x=20°

Step-by-step explanation:

sum of both angles is 180° (linear pair)

6x+3x=180°

9x=180°

x= 180/9

x= 20°

Answer 2

Answer :-

• The value of x = 20°.

Given :-

• Two angles on a straight line are 6x and 3x.

To find :-

• The value of x.

Step-by-step explanation :-

The value of the angles with variables is 6x and 3x.

We have to find the value of x.

As we can see, both the angles are on a straight line.

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We know that :-

Sum of all the angles on a straight line = 180°.

This is true, no matter how many angles are there on a straight line.

Lets use this property to find the answer.

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Calculations :-

Since the angles are on a straight line, therefore their sum must be 180°, according to the property given above.

So, we get :-

$\sf6x + 3x = 180^{\circ} \: \: (Straight \: Line)$

$\sf9x = 180^{\circ}$

$\sf x = \dfrac{180^{\circ}}{9}$

$\sf x = 20^{\circ}.$

Thus, the value of x = 20°.

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Therefore, the value of the angles are as follows :-

3x = 3 × 20° = 60°.

6x = 6 × 20° = 120°.

Thus, the angles are 60° and 120° respectively.

Verification :-

To check our answer, we will add up the value of the angles and see whether their sum is 180°.

Let's proceed!

60° + 120° = 180°.

Since the sum of the angles is 180°,

Hence verified!

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