Question
Download Solution PDFएक चक्रीय चतुर्भुज PQRS में, ∠PQR और ∠QRS के मान क्रमशः 30° और 50° हैं। ∠SPQ और ∠RSP के बीच का अंतर कितना है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
∠PQR = 30°
∠QRS = 50°
प्रयुक्त अवधारणा:
एक चक्रीय चतुर्भुज में,
सम्मुख कोणों का योगफल = 180°
गणना:
∠PQR + ∠RSP = 180° (∵ सम्मुख कोणों का योगफल = 180°)
⇒ 30° + ∠RSP = 180°
⇒ ∠RSP = 150°
∠QRS + ∠SPQ = 180° (∵ सम्मुख कोणों का योगफल = 180°)
⇒ 50° + ∠SPQ = 180°
⇒ ∠SPQ = 130°
⇒ ∠RSP - ∠SPQ = 20°
∴ ∠SPQ और ∠RSP के बीच का अंतर 20° है।
Last updated on Jul 18, 2025
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