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  • In Fig. 10.11, if TP and TQ are the two tangents to a circle with centre O so that angle angle POQ equals 110°, then angle PTQ is equal to

2.   In Fig. 10.11, if TP and TQ are the two tangents to a circle with centre O so that \angle POQ = 11 0 \degree,
         then \angle PTQ is equal to     

                                                                                                             

         (A) 60 \degree

         (B) 70 \degree                                                              

         (C) 80 \degree

         (D)9 0 \degree                                                    

                                                           

Answers (1)

best_answer

The correct option is (b)


In figure, \angle POQ = 110^0
Since POQT is quadrilateral. Therefore the sum of the opposite angles are 180

\\\Rightarrow \angle PTQ +\angle POQ = 180^0\\\\\Rightarrow \angle PTQ = 180^0-\angle POQ
                 = 180^0-100^0
                  = 70^0
 

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manish

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