# In Below Fig, Determine the Value of X. - Mathematics

In below fig, determine the value of x.

#### Solution 1

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

⇒ 3x + 3x +150 + x = 360°

⇒ 7x° = 360° -150°

⇒ 7x = 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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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 10 Lines and Angles
Exercise 10.2 | Q 8 | Page 15