 Hello and welcome to the session. In this session, we will discuss a question which says that in figure, P i and P b are tangents from an external point B to the circle with center O. Find angle A O P plus angle O P a. And the options are option A 70 degrees, option B 80 degrees, option C 90 degrees, option D 100 degrees. Now before starting the solution of this question, we should know our result. And that is the radius and the tangent are perpendicular to each other at the point of contact. That means in this circle with center O, if P d is the tangent and D is the point of contact, then angle P d O will be equal to 90 degrees. That is the angle between the radius and the tangent at the point of contact is 90 degrees. Now this result will work out as a key idea for solving out this question. And now we will start with the solution. Now it is given in the question that P i and P b are tangent to the circle with center O. Now here is the tangent and this is the circle with center O. So over there is the radius. Now using the result which is given in the key idea, radius and tangent are perpendicular to each other at the point of contact where the point of contact is angle O P is equal to 90 degrees. Now by summing the property this angle A O P plus angle O to 180 degrees is equal to 90 degrees. So substituting this value here, this will be 90 degrees plus angle A O P plus angle O P A is equal to 180 degrees which further implies angle A O P plus angle O P A is equal to 180 degrees minus 90 degrees which is equal to 90 degrees. O P A is coming out to be 90 degrees. The question is option C which is 90 degrees. So this is the solution of the given question and that is all for this session. Hope you all have enjoyed the session.