I want answer of b part and also explain me book kai back par b=18 hai and c=126 hai
Answers
Answer:
In Question ( b) –
We can solve this Question by Three Methods, I'm going to show all of them :
Method 1
- b = 18
- c = 126
- Find the value of ∠ O
We know that at a point it forms 360°, that's why sum of all the given angles will be equal to 360°
• According to the Question :
⇒ ∠O + 7b° + 3b° + c° = 360°
⇒ ∠O + 10b° + c° = 360°
⇒ ∠O + 10(18) + 126° = 360°
⇒ ∠O + 180° + 126° = 360°
⇒ ∠O + 306° = 360°
⇒ ∠O = 360° - 306°
⇒ ∠O = 54°
∴ Hence, value of ∠O is equal to 54°
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Method 2
We can see that AOB is a line, hence angle on it will be equal to 180°
• According to the Question :
⇒ ∠AOC + ∠COB = 180°
⇒ ∠O + c° = 180°
⇒ ∠O + 126° = 180°
⇒ ∠O = 180° - 126°
⇒ ∠O = 54°
∴ Hence, value of ∠O is equal to 54°
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Method 3
In a transverse Vertically opposite angles are always equal, in this given picture :
- ∠AOC = ∠BOD and ∠AOD = ∠COB
• According to the Question :
⇒ ∠AOC = ∠BOD
⇒ ∠O = 3b°
⇒ ∠O = 3 × 18
⇒ ∠O = 54°
∴ Hence, value of ∠O is equal to 54°