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angle wanted, 2 circles 2021 Malaysia IMONST 1 Senior P11

Source:

September 21, 2021
geometryanglescircles

Problem Statement

Given two points A A and B B and two circles, Γ1\Gamma_1 with center AA and passing through B B, and Γ2\Gamma_2 with center B B and passing through A A. Line ABAB meets Γ2\Gamma_2 at point CC. Point DD lies on Γ2\Gamma_2 such that ∠CDB=57o\angle CDB = 57^o. Line BDBD meets Γ1\Gamma_1 at point EE. What is ∠CAE\angle CAE, in degrees?
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