Question

Two circles with centres A and B intersect at C and D. Prove that ZACB= ZADB.​

Answer 1

Answer:

Step-by-step explanation:

Given: Two circles with centres A and B intersect at C and D.

To Prove : ∠ACB = ∠ADB.

Construction:

Join AC, AD, BC, BD and AB.

Proof :

In ∆ACB an ∆ADB,

AC = AD [Radii of the same circle]

BC =BD [Radii of the same circle]

AB = AB [Common] ∴ ∆ACB ≅ ∆ADB [By SSS]

∴ ∠ACB = ∠ADB. [By cpctc].

hope it helps....