Question
Download Solution PDFचतुर्भुज PQRS में, ∠R और ∠S के समद्विभाजक बिंदु T (चतुर्भुज के अंदर) पर मिलते हैं और ∠STR = 87.5° है। यदि ∠ P और ∠ Q का अनुपात 2 ∶ 3 है, तो ∠ Q और ∠ P के मापों के बीच क्या अंतर है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया
∠STR = 87.5°.
∠R और ∠S के समद्विभाजक बिंदु T पर मिलते हैं
∠P से ∠Q का अनुपात 2 ∶ 3 है
गणना
∠P + ∠Q + ∠R + ∠S = 360
∠P + ∠Q = 360 - (∠R + ∠S) ..(1)
∠STR + ∠R/2 + ∠S/2 = 180
2∠STR = 360 - ( ∠R + ∠S) ..(2)
2 को 1 में रखो.
∠STR = (∠P + ∠Q)/2
∠P + ∠Q = 87.5 × 2 = 175°
(2 + 3) → 175 °
1 → 175°/5 = 35°
∠Q और ∠P के मापों के बीच का अंतर 35 ° है।
Last updated on Jul 18, 2025
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