समचतुर्भुज के आसन्न कोण 4: 5 के अनुपात में हैं। बड़े और छोटे कोण के बीच का अंतर ज्ञात कीजिए।

  1. 10°
  2. 20°
  3. 15°
  4. 25°

Answer (Detailed Solution Below)

Option 2 : 20°
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RRB NTPC Graduate Level Full Test - 01
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Detailed Solution

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दिया है:

समचतुर्भुज के आसन्न कोण का अनुपात = 4 : 5

प्रयुक्त अवधारणा:

समचतुर्भुज के आसन्न कोणों का योगफल 180° है।

गणना :

माना कि छोटे और बड़े कोण क्रमशः 4x और 5x हैं।

⇒ 4x + 5x = 180°

⇒ 9x = 180°

⇒ x = 20°

बड़े और छोटे कोण के बीच अंतर = 5x - 4x

= x = 20°

∴ बड़े और छोटे कोण के बीच का अंतर 20° है।

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