Question

PQ is a chord of circle and R is point on minor Arc if PT is tangent at point P such that angle QPT = 60 degree then find angle PRQ.

Please tell right answer. ​

Answer 1

Answer:

hey here is your answer

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pls refer the reference diagram uploaded above

Step-by-step explanation:

so here pt is a tangent and pq is a chord

so here angle qpt is an angle inscribed between both of these

so by tangent chord theorem

we get

angle qpt=1/2×m(arc pq)

ie m(arc pq)=60×2

=120 degrees

so thus m(major arc pq)=360-m(minor arc pq)

=360-120

=240 degrees

thus then

here angle PRQ intercepts major arc pq on circumference of circle

thus by inscribed angle theorem

we get

angle PRQ=1/2×m(major arc pq)

=1/2×240

=120 degrees

thus angle PRQ is 120 degrees