Question
Download Solution PDFΔ PQR मध्ये, S हा QR चा मध्यबिंदू आहे आणि PS = SR. जर ∠Q = 48° असेल, तर ∠SPR चे माप (अंशांमध्ये) किती असेल?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेल्याप्रमाणे :
S हा मध्यबिंदू आहे.
आणि PS = SR
∠Q = 48°
गणना :
SR = PS आणि QS = SR आहे
म्हणून, PS = SR = QS
ΔPQS मध्ये,
∠Q = 48° , ∠P = 48°
⇒ ∠Q + ∠P + ∠S = 180°
⇒ ∠S = 180° - 96° = 84°
आता, ∠QSP + ∠PSR = 180°
⇒ 84° + ∠PSR = 180°
⇒ ∠PSR = 180° - 84° = 96°
ΔPSR मध्ये,
⇒ ∠P + ∠S + ∠R = 180°
⇒ 96° + x + x = 180°
⇒ 2x = 180° - 96° = 84°
⇒ x = 42°
∠SPR = 42°
∴ योग्य उत्तर 42° हे आहे.
Last updated on May 9, 2025
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