Question
Download Solution PDFयदि एक नियमित बहुभुज का प्रत्येक अन्तःकोण 135° है, तब बहुभुज के विकर्णों की संख्या ज्ञात कीजिये।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFएक नियमित बहुभुज का प्रत्येक अन्तःकोण 135 है,
⇒ बाह्य कोण = 180° - अन्तःकोण = 45°
⇒ बहुभुज की भुजाओं की संख्या = 360°/बाह्य कोण = 8
∴ विकर्णों की संख्या = n(n - 3)/2 = 8 × (8 - 3)/2 = 20, जहाँ n बहुभुज की भुजाओं की संख्या है।Last updated on Jun 2, 2025
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