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°

Practice Next

Relevant for Exams:

×
×