Question
Download Solution PDFఒక సమాంతర చతుర్భుజం PQRSలో, P మరియు Q యొక్క వరుస కోణాల ద్విఖండనలు T వద్ద ఖండిస్తాయి. ∠PTQ యొక్క కొలత ఏమిటి?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇచ్చినది:
PQRS అనేది సమాంతర చతుర్భుజం.
ఉపయోగించిన భావన:
ఆసన్న సమాంతర చతుర్భుజంలో, కోణం మొత్తం 180
గణన:
\(\angle\)PQT=\(\angle\)Q/2
\(\angle\)QPT=\(\angle\)P/2
\(\angle\)P+\(\angle\)Q=180
ప్రతిక్షేపించగా,
2\(\angle\)PQT+2\(\angle\)QPT = 180
\(\angle\)PQT+\(\angle\)QPT = 90
కానీ ,\(\angle\)PQT+\(\angle\)QPT+\(\angle \)PTQ=180(అంతర కోణం మొత్తం 180)
కాబట్టి \(\angle\)PTQ = 180 - 90 = 90° విలువను ప్రతిక్షేపించగా.
∴ ఎంపిక 3 సరైన సమాధానం.
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