PQ is a chord of a circle with centre O and PT is a tangent at P such that angle QPT=60 degree. then, angle PRQ=?
Answers
Answered by
4
where is R in your question
Answered by
1
∠PRQ = 120 degree
Step-by-step explanation:
given data
chord = PQ
centre = O
tangent = P
QPT = 60 degree
solution
we know here PT is a tangent
so that here ∠OPT will be = 90 degree
so here sum of triangle is 180 degree
∠OPQ + ∠OQP + ∠ POQ = 180 .................1
here
∠OPQ = ∠OPT - ∠QPT
so put value
∠OPQ = 90 - 60 = 30
now put value in equation 1 we get ∠POQ
∠POQ = 180 - 30 - 30
∠POQ = 120 degree
then
∠ PRQ = reflex angle ∠POQ.
so here
∠PRQ will be
∠PRQ = × (360 - 120)
∠PRQ = 120 degree
Learn more :
PQ is a chord of a circle with
1. https://brainly.in/question/2470061
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