Mathematics

Question

o is the centre of a circle PQ is a chord and PT is a tangent at P if angle POQ is 70° then find angle TPQ

1 Answer

  • Answer:

    < TPQ = 145 degrees

    Step-by-step explanation:

    < QPO = (180 - 70)/2 = 55 degrees ( base angle of an isosceles triangle).

    < OPT = 90 degrees ( OP is a radius to point of contact of the tangent).

    Therefore < TPQ = < QPO + < OPT

    =  55 + 90

    = 145 degrees

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