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CBSE Class 10 Answered

CIRCLES
Asked by akhileshnarayanan | 06 Feb, 2010, 09:51: PM
answered-by-expert Expert Answer

We need to show that BOA + APB = 180,

In quadrilateral OAPB,

BOA + APB + OAP + OBP = 360

But OAP = OBP = 90        ...................... since the radius at the point of contact of a tangent is perpendicular to

                                                                            the tangent at the point of contact. 

BOA + APB + 90 + 90 = 360

BOA + APB = 180

Regards,

Team,

TopperLearning.

Answered by | 07 Feb, 2010, 10:04: AM
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