Question
Download Solution PDFएक नियमित बहुभुज के लिए, अंतः कोणों का योग इसके बाह्य कोणों के योग से 250% अधिक है। बहुभुज का प्रत्येक अंतः कोण x° मापता है। x का मान क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
बहुभुज के सभी अंतः कोणों का योग बाह्य कोणों के योग से 250% अधिक है।
प्रयुक्त सूत्र:
एक बहुभुज के सभी अंतः कोणों का योग = (n - 2) x 180°
जहाँ n = भुजाओं की संख्या
गणना:
प्रश्न के अनुसार,
बहुभुज के अंतः कोणों का योग बाह्य कोणों के योग से 250% अधिक है।
अर्थात, 360° का 350%
= 360° का 350%
= 3.5 x 360°
= 1260°
एक बहुभुज के सभी अंतः कोणों का योग = (n - 2) x 180°
=> 1260° = (n - 2) x 180°
=> (1260°/180°) = (n - 2)
=> 7 = n - 2
=> n = 9
अब, प्रत्येक अंतः कोण x = 1260°/9 = 140°
इसलिए, सही उत्तर विकल्प (1) है।
Last updated on Jul 19, 2025
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