Question

Prove that equal chords of a circle subtend equal angles at the centres​

Answer 1

$\sf{\huge{\underline{\red{Given :-}}}}$

• A circle with centre O.

• KL & MN are equal chords of a circle. Such that , KL = MN

$\sf{\huge{\underline{\green{To\:Proof :-}}}}$

• ∠ KOL = ∠ NOM

$\sf{\huge{\underline{\purple{Proof :-}}}}$

In ΔKOL & ΔNOM,

• KO = ON

• KL = NM

• OL = OM

ΔKOL ≡ ΔNOM { SSS rule }

∠ KOL = ∠ NOM (CPCT)

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