In the following figure QTR =21,Find angle QPR.
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angle QPR =21
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Answer:
given that angle QTR=21
let angle TRS= PRT = y
let angle PQT = TQR = x
TRS = QTR+TQR (TRS in an exterior angle of triangle TQR)
y=21 + x
y-x =21 - - - - - - -- (1)
now in triangle PQR
PRS = QPR+PQR (exterior angle property)
so 2y = QPR+2x
2y-2x = QPR
2(y-x) = QPR
2 * 21 = QPR (from equation 1)
42 = QPR
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