Question
Download Solution PDFचक्रीय चौकोन PQRS मध्ये, ∠PQR आणि ∠QRS अनुक्रमे 30° आणि 50° आहेत. ∠SPQ आणि ∠RSP मध्ये फरक काय आहे?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिल्याप्रमाणे:
∠PQR = 30°
∠QRS = 50°
वापरलेली संकल्पना:
चक्रीय चौकोनामध्ये,
विरुद्ध कोनांची बेरीज = 180°
Calculations:
∠PQR + ∠RSP = 180° (∵ विरुद्ध कोनांची बेरीज = 180°)
⇒ 30° + ∠RSP = 180°
⇒ ∠RSP = 150°
∠QRS + ∠SPQ = 180° (∵ विरुद्ध कोनांची बेरीज = 180°)
⇒ 50° + ∠SPQ = 180°
⇒ ∠SPQ = 130°
⇒ ∠RSP - ∠SPQ = 20°
∴ ∠SPQ आणि ∠RSP मधील फरक 20° आहे.
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