In a circle with centre

MATHEMATICS · Multi-part · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

In a circle with centre OO, chords ABAB and ACAC are equal. It is given that ∠AOB=110∘\angle AOB = 110^{\circ}. A diameter through AA meets the circle again at DD. (i) Find ∠ABC\angle ABC. (ii) Find ∠ADC\angle ADC.

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