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22. In the above sided figure, if QT L PR, TOR 40° and SPR -30 , find x and y.30°40°

Answer»

InΔ QTR∠ TQR +∠ QRT +∠ QTR = 180°⇒ 40° + y + 90° = 180°⇒ y = 180° - 130°⇒ y = 50°∠ QSP =∠ SPR +∠ SRPReason : Exterior angle = sum of interior angles⇒ x = 30° + y⇒ x = 30° + 50°⇒ x = 80°So, ∠x= 80° and∠ y = 50°

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