Question

m(arc PRQ) find angle PQA and angle PQB​

Answer 1

I think angle PQB=130°

angle PQA=50°

Solution:

angle PRQ=angle PQB{According to the theorem the angle between a tangent and a chord through the point of contact is equal to an angle in the alternate segment}

angle PQB=130°

angle PQB+angle PQA=180°{linear pair}

angle PQA=180°-130°

angle PQA=50°

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Answer 2

Answer:

I think angle PQB=130°

angle PQA=50°

Solution:

angle PRQ=angle PQB{According to the theorem the angle between a tangent and a chord through the point of contact is equal to an angle in the alternate segment}

angle PQB=130°

angle PQB+angle PQA=180°{linear pair}

angle PQA=180°-130°

angle PQA=50°

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