In the figure, the value of x is –

F1 Teaching Arbaz 24-1-24 D6

This question was previously asked in
Bihar STET TGT (Maths) Official Paper-I (Held On: 04 Sept, 2023 Shift 1)
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  1. 180°
  2. 18°
  3. 30°
  4. none of these

Answer (Detailed Solution Below)

Option 3 : 30°
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Calculation: 

F1 Teaching Arbaz 24-1-24 D7

Since, Sum made around a point is equal to  360° 

⇒ ∠AOB + ∠BOC + ∠COD + ∠EOD + ∠EOF + ∠FOA =  360° 

⇒ ∠COD = ∠FOA = 2x 

⇒ ∠BOC = ∠EOF = 2x 

⇒ ∠BOA = ∠EOD = 2x 

2x + 2x + 2x + 2x + 2x + 2x = 360°

⇒ 12x = 360° ⇒  x = 30° 

Hence, The Correct Answer is 30° 

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