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Answer in Brief

In below fig, determine the value of x.

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#### Solution 1

Since sum of all the angles round a point is equal to 360°.Therefore

⇒ 3*x *+ 3*x *+150 + *x *= 360°

⇒ 7*x*° = 360° -150°

⇒ 7*x *= 210°

*⇒ x *= `210/7`

*⇒ x *= 30°

#### Solution 2

In the given figure:

AOB is a straight line. Thus,∠AODand ∠BODform a linear pair.

Therefore their sum must be equal to180°.

We can say that

∠AOD+∠BOD = 180°

It is given that ∠AOD=150°, substituting this value in equation above, we get:

`150° + x = 180°`

` x = 180° - 150°`

` x =30°`

Concept: Introduction to Lines and Angles

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