Question

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

Answer 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