question about circles

Asked by  | 16th Oct, 2009, 10:20: AM

Expert Answer:

let P be the point from where tangents are drawn.

Let A and B be the points of contact  and O be the center.

 consider quad PAOB.

angle PAO=90

and

angle PBO=90... angle made by the radius thru' the point of contact with the tangent is 90 degrees.

here  the sum of two angles of the quad is 180, so the sum of the other two angles also must be 180.

 so anglesAPB  and AOB are supplementary.

Answered by  | 19th Oct, 2009, 04:45: PM

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