निम्नलिखित में से कौन चक्रीय चतुर्भुज के कोण का माप नहीं हो सकता है?

  1. 90° 
  2. 150° 
  3. 170° 
  4. 180° 

Answer (Detailed Solution Below)

Option 4 : 180° 
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Detailed Solution

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प्रयुक्त अवधारणा:

चक्रीय चतुर्भुज के विपरीत कोण के माप का योग अनुपूरक है।

गणना:

विपरीत कोण के माप का योग = 180° 

⇒ दो कोण का योग 180° है 

⇒ चक्रीय चतुर्भुज के सभी कोण 180° से कम होने चाहिए

∴ चक्रीय चतुर्भुज का एक कोण 180° नहीं हो सकता। 

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