Answer-AB and CD are parallel tangents to a circle with center O. Points P and Q are on AB and CD, respecti...

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Since PQ is tangent to the circle at R, PO bisects the angles at Thus, EOP  POR   1 let QO bisects the angle at FOR. Thus, FOQ  QOR    let Since AB and CD are parallel tangents to the circle, EF must be a straight line. Thus, from the diagram, 2  1   2  180  1   2  90 POQ  90

AB and CD are parallel tangents to a circle with center O. Points P and Q are on AB and CD, respectively, such that PQ touches the circle at R. Find the measure of ∠ POQ.

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