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Answer:
∠SQR = ∠QSP = 30 °
A/C TO ANGLE SUM PROPERTY
∠PMS + ∠QSP + ∠RPS = 180°
54° + 30° + ∠RPS = 180°
∠RPS = 180° - 84° = 96° ----------(i)
∠QSR + ∠QSP = ∠PSR = 25° + 30° = 55° -----------(iii)
∠SMR + ∠PMS = 180 ° (LINEAR PAIR)
54° + ∠SMR = 180°
∠SMR = 180° - 54° = 126°
∠SMR + ∠QSR + ∠PRS = 180 ° (ANGLE SUM PROPERTY)
126° + 25° + ∠PRS = 180°
∠PRS = 180° - 151° = 29° ---------------(ii)
ANSWER
(i) ∠RPS=96 °
(ii)∠PRS=29°
(iii)∠PSR=55°
hope it helps..
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HOPES THIS HELPS YOU..............
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