Question
Download Solution PDFचतुर्भुज PQRS मध्ये, ∠R आणि ∠ S चे दुभाजक T बिंदूवर (चतुर्भुजाच्या आत) आणि ∠ STR = 87.5° भेटतात. जर ∠ P ते ∠ Q चे गुणोत्तर 2 ∶ 3 असेल, तर ∠ Q आणि ∠ P च्या मापांमध्ये काय फरक आहे?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेल्याप्रमाणे
∠STR = 87.5°.
∠R आणि ∠S चे दुभाजक T बिंदूवर भेटतात
∠P ते ∠Q चे गुणोत्तर 2 ∶ 3 आहे
गणना
∠P + ∠Q + ∠R + ∠S = 360
∠P + ∠Q = 360 - (∠R + ∠S)..(1)
∠STR + ∠R/2 + ∠S/2 = 180
2∠STR = 360 - ( ∠R + ∠S) ..(2)
1 मध्ये 2 ठेवा.
∠STR = (∠P + ∠Q)/2
∠P + ∠Q = 87.5 × 2 = 175°
(2 + 3) → 175 °
1 → 175°/5 = 35°
∠Q आणि ∠P च्या मापांमधील फरक 35° आहे.
Last updated on Jul 18, 2025
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