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    Question

    In Fig. if QT ⊥ PR, ∠ TQR = 40 ° and ∠ SPR = 30

    ° , find x and y.                 
    A 50°,80° Correct Answer Incorrect Answer
    B 70°,60° Correct Answer Incorrect Answer
    C 60°,50° Correct Answer Incorrect Answer
    D 50°,70° Correct Answer Incorrect Answer

    Solution

    In ∆ TQR, 90° + 40° + x = 180°(Angle sum property of a triangle) Therefore, x = 50° Now, y = ∠ SPR + x (ext. angle equal to sum of opp. int angles) Therefore, y = 30° + 50° y = 80°

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