Math, asked by bablukumarsaw11776, 1 day ago

Two equal chords AB and CD are drawn in a circle with centre O. Show that A ABC and ACD are congruent.​

Answers

Answered by s1055deeksha05200
1

Answer:

Since AB=CD (equal chords) so, their distance from centre must le equal

So, OP=OQ

Now, In △POQ

(1) ∠OPQ=∠OQP

(2) ∠OPQ+∠OQP+∠POQ=1800

⇒2∠OPQ+1500=1800

⇒∠OPQ=150

Also, ∵P is midpoint of AB

OP⊥AB⇒∠APO=900

Now, ∠APQ=∠APO−∠OPQ=900−150=750

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