Question
Download Solution PDFΔ PQR में, S, QR का मध्य बिंदु है और PS = SR है। यदि ∠Q = 48° है, तो ∠SPR की माप (डिग्री में) कितनी होगी?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है :
S, QR का मध्य बिंदु है।
और PS = SR
∠Q = 48°
गणना :
चूँकि, SR = PS और QS = SR
इसलिए, PS = SR = QS
ΔPQS में,
∠Q = 48°, ∠P = 48°
⇒ ∠Q + ∠P + ∠S = 180°
⇒ ∠S = 180° - 96° = 84°
अब, ∠QSP + ∠PSR = 180°
⇒ 84° + ∠PSR = 180°
⇒ ∠PSR = 180° - 84° = 96°
ΔPSR में,
⇒ ∠P + ∠S + ∠R = 180°
⇒ 96° + x + x = 180°
⇒ 2x = 180° - 96° = 84°
⇒ x = 42°
∠SPR = 42°
∴ सही उत्तर 42° है।
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