Q. 45.0( 8 Votes )

In Fig. 1, PA and

Answer :


As we know that the angle opposite to equal sides are equal.


1 = 2 ……(1)


Sum of all the angles of a triangle is 180°.


In Δ PAB,


1 + 2 + APB = 180°


1 + 2 + 50° = 180° (given APB = 50°)


1 + 2 = 130°


1 + 1 = 130° (From equation 1)


21 = 130°


1 = 65° ….(2)


We know that the angle between the tangent and radius is 90° .


1 + OAB = 90°


65° + OAB = 90° (From equation 2)


OAB = 25°


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