Question

Find the value for x in the following image

Answer 1

• x = 40°

Explanation:

In the question we arw given with three angles that are z

• Angle 1 = x°

• Angle 2 = 70°

• Angle 3 = 110°

( Angle 1 , Angle 2 or Angle 3 aren't given in Question , we are just giving names for given angle . So that there's ease on explanation )

And we have asked to find th value of angle 1 i.e. x .

Solution : -

As we can see in the question that ,

• Angle 1 + Angle 2 = Angle 3 ( Vertically Opposite Angles )

Vertically Opposite Angles : -

When two lines intersect each other then the two angles formed by them at a specific point are equal .

`\longmapsto x° + 70° = 110°`

Subtracting 70 from both sides :

`\longmapsto x° + \cancel{70° }- \cancel{70° }= 110° - 70°`

On further calculation :

`\longmapsto \purple{ \boxed{ \mathfrak{ x° = 40 {°} }}}`

• Therefore , value of x is 40° .

Verification : -

We are verifying our answer by substituting value of x . So ,

• x + 70° = 110°

• 40° + 70° = 110°

• 110° = 110°

• L.H.S = R.H.S

• Hence , Verified .

Therefore, our value for x is correct

Answer 2

To find :-

`\\`

• value of x.

`\\`

Solution:

`\\`

⇢ x + 70° = 110°

Reason {

VOC (Vertically opposite angles).

What is VOC?

Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines}

`\\`

⇢ x = 110° - 70°

`\\`

⇢ x = 40°

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Vertication:

`\\`

⇢ x + 70° = 110°

put value of x

`\\`

⇢ (40°) + 70° = 110°

`\\`

⇢ 110 ° = 110°

`\\`

LHS = RHS

hence it is verified that value of x is 40°