Question
Download Solution PDFनियमित बहुभुजासाठी, आतील कोनांची बेरीज त्याच्या बाह्य कोनांच्या बेरीजपेक्षा 200% जास्त असते. बहुभुजाचा प्रत्येक आतील कोन x° मोजतो. x° चे मूल्य काय आहे?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिले:
बहुभुजाच्या सर्व अंतर्गत कोनांची बेरीज बाह्य कोनांच्या बेरजेपेक्षा 200% जास्त आहे.
वापरलेले सूत्र:
बहुभुजाच्या सर्व आतील कोनांची बेरीज = (n - 2) × 180°
जेथे n = बाजूंची संख्या
गणना:
प्रश्नानुसार,
बहुभुजाचे आतील कोन असल्यास बेरीज
= 360° पैकी 300%
= 3 × 360°
= 1080°
बहुभुजाच्या सर्व आतील कोनांची बेरीज = (n - 2) × 180°
⇒ 1080° = (n - 2) × 180°
⇒ (1080°/180°) = (n - 2)
⇒ 6 = n - 2
⇒ n = 8
आता, प्रत्येक आतील कोन x = 1080°/8 = 135°
∴ x चे आवश्यक माप 135° आहे.
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