निम्नलिखित आकृति में 'x' का मान क्या है:

F1 Suhani Madhuri 28.10.2021 D2

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  1. 60°
  2. 75°
  3. 80°
  4. 85°

Answer (Detailed Solution Below)

Option 1 : 60°
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दिया गया है:

आकृति F1 Suhani Madhuri 28.10.2021 D2

संकल्पना:

संपूरक कोणों का योग = 180°

त्रिभुज के सभी आंतरिक कोणों का योग = 180°

गणना:

F1 Suhani Madhuri 28.10.2021 D3

⇒ ΔABC में, 

⇒ ∠ADB + ∠ADC = 180° 

⇒ 108° + ∠ADC = 180° 

⇒ ∠ADC = 180° - 108° = 72° 

⇒ ΔADC में,

⇒ ∠ADC + ∠ACD + ∠DAC = 180° 

⇒ 72° + x° + 48° = 180° 

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

अभीष्ट परिणाम 60° होगा।

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