The value of 'x' in following figure:

F1 Suhani Madhuri 28.10.2021 D2

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HP JBT TET 2013 Official Paper
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  1. 60°
  2. 75°
  3. 80°
  4. 85°

Answer (Detailed Solution Below)

Option 1 : 60°
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HP JBT TET 2021 Official Paper
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150 Questions 150 Marks 150 Mins

Detailed Solution

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Given:

The figure = F1 Suhani Madhuri 28.10.2021 D2

Concept:

The sum of the supplementary angle = 180° 

The sum of all interior angles of the triangle = 180° 

Calculation:

F1 Suhani Madhuri 28.10.2021 D3

⇒ In ΔABC 

⇒ ∠ADB + ∠ADC = 180° 

⇒ 108° + ∠ADC = 180° 

⇒ ∠ADC = 180° - 108° = 72° 

⇒ In ΔADC

⇒ ∠ADC + ∠ACD + ∠DAC = 180° 

⇒ 72° + x° + 48° = 180° 

⇒ x° = 180° - 48° - 72° = 180° - 120° = 60° 

∴ The required result will be 60°.

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