ABCD एक चक्रीय चतुर्भुज है जिसमें और है। C और D के माप के बीच का अंतर कितना है?

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MP Police Constable 2023 Official Paper (Held On: 11 Sept, 2023 Shift 2)
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  1. 29
  2. 27
  3. 19
  4. 25

Answer (Detailed Solution Below)

Option 4 : 25
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दिया गया है:

ABCD एक चक्रीय चतुर्भुज है

∠A = 67°

∠B = 92°

प्रयुक्त सूत्र:

एक चक्रीय चतुर्भुज में, सम्मुख कोण संपूरक होते हैं:

∠A + ∠C = 180°

∠B + ∠D = 180°

∠C और ∠D के बीच का अंतर = |∠C - ∠D|

गणना:

∠A + ∠C = 180°

⇒ ∠C = 180° - 67° = 113°

∠B + ∠D = 180°

⇒ ∠D = 180° - 92° = 88°

∠C और ∠D के बीच का अंतर = |∠C - ∠D|

⇒ अंतर = |113° - 88°|

⇒ अंतर = 25°

इसलिए, सही उत्तर विकल्प (4) है।

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