Math, asked by janani11102005, 11 months ago

pq and rs are two equal chords of a circle with centre Such that angle poQ= 70 then angle ors is​

Answers

Answered by amitnrw
9

∠ORS  = 55° pq and rs are two equal chords  & ∠POQ= 70°

Step-by-step explanation:

PQ = RS

Let compare Triangle OPQ   & ΔORS

OP  = OR    ( Radius)

OQ = OS     (radius)

PQ = RS

=> OPQ   ≅ ΔORS

=> ∠ROS  = 70°

now OR = OS = (Radius)

=> ∠ORS = ∠OSR

∠ORS + ∠OSR + ∠ROS  = 180°

=> 2 ∠ORS + 70° = 180°

=>  2 ∠ORS  = 110°

=> ∠ORS  = 55°

Learn More :

Prove that equal chords of circle subtend equal angles at the centre

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If two equal chords of a circle intersect

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Answered by 18study
4

Answer:

hope it helps you friend

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