Question

Find value x and z!!!!!!!!!!!!!!!!!!

Answer 1

`x` = 3°

`z` = 106°

Explanation:

Since the angles are opposite each other, we know that
`9x+47` = 74°. We can use this information to solve for
`x`:

74° =
`9x+47`

27° =
`9x`

3° =
`x`

Since we know the whole system has to add up to 360°, or one rotation we can find what
`z` + the angle opposite it is equal to, and from there find
`z`:

360° = 2(74°) + 2
`z`

360° = 148° + 2
`z`

212° = 2
`z`

106° =
`z`

Answer 2

Question : -

Given the figure below , find the values of x and z

Given : -

• Angle 1 = 74°

• Angle 2 = z°

• Angle 3 = ( 9x + 47 ) °

To find : -

• Values of x and z

Concept : -

For doing such types of questions we must have concept and knowledge of linear pairs of angles and vertically opposite angles .

So let's Starting the Solution : -

As we know that Angle 1 and Angle 3 are vertically opposite angles . Therefore , we can equate them and easily find the value of x . So :

• 9x + 47 = 74

• 9x = 74 - 47

• 9x = 27

• x = 27/9

• x = 3°

Therefore , value of x is 3° .

Now Verifying :

• 9 ( x ) + 47 = 74

• 9 ( 3 ) + 47 = 74

• 27 + 47 = 74

• 74 = 74

• L.H.S = R.H.S

• Hence , Verified .

Therefore , our value for x is correct .

Now , finding value of z :

As we know that Angle 1 and Angle 2 are Linear pair . Therefore , there sum is equal to 180° . So :

• z + 74° = 180°

• z = 180° - 74°

• z = 106°

Therefore , value of z is 106° .

Now Verifying :

• 106° + 74° = 180°

• 180° = 180°

• L.H.S = R.H.S

• Hence , Verified .

Therefore, our answer is correct .

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