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Question
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
⇒ 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°`
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