Pq is a tangent drawn from a point p

Asked by admin @ 17/08/2021 in Math viewed by 371 People

Pq is a tangent drawn from an external point p to a circle with centre o, qor is the diameter of the circle. if  por = 120, what is the measure of  opq ?

Answered by admin @ 17/08/2021

1. Draw a tangent from an external point P to the circle with radius O 2. POR = 120 GivenPOQ = 60(sincePOR and POQ are supplementary)PQO = 90 (angle formed between the tangent and radius)Consider POQ, sum of all angles must be equal to 180POQ + OPQ + PQO = 18060 + OPQ + 90 =180OPQ = 30

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