Question
Download Solution PDFచతుర్భుజ PQRSలో, ∠R మరియు ∠ S యొక్క ద్విభాగాలు T (చతుర్భుజం లోపల) మరియు ∠ STR = 87.5° వద్ద కలుస్తాయి. ∠ P నుండి ∠ Q నిష్పత్తి 2 ∶ 3 అయితే, ∠ Q మరియు ∠ P కొలతల మధ్య తేడా ఏమిటి?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇచ్చిన దత్తాంశం
∠STR = 87.5°.
T బిందువు వద్ద ∠R మరియు ∠S ద్విభాగాలు కలుస్తాయి
∠P నుండి ∠Q నిష్పత్తి 2 ∶ 3
సాధన
∠P + ∠Q + ∠R + ∠S = 360
∠P + ∠Q = 360 - (∠R + ∠S) ..(1)
∠STR + ∠R/2 + ∠S/2 = 180
2∠STR = 360 - ( ∠R + ∠S) ..(2)
2ని 1లో పెట్టండి.
∠STR = (∠P + ∠Q)/2
∠P + ∠Q = 87.5 x 2 = 175°
(2 + 3) → 175 °
1 → 175°/5 = 35°
∠Q మరియు ∠P కొలతల మధ్య వ్యత్యాసం 35 °.
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