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