IP2U14 Exercise Q2

IP2U14 Exercise Q2

IP 2

\(A\), \(B\), \(C\), \(D\) and \(E\) are points on the circle such that \(AC\) is perpendicular to \(BE\) and \(EC\) is perpendicular to \(AD\). Prove that \(\angle BCD\) is twice of \(\angle ACE\).

Points A, B, C, D, and E on a circle with intersecting chords AC, BE and EC, AD.
Points A, B, C, D, and E on a circle with intersecting chords AC, BE and EC, AD.

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Answer:Proved: \(\angle BCD=2\angle ACE\)

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