Mathematics

Mathematics

Problem

In a circle with centre OO, chords ABAB and CDCD are equal in length. The chord ABAB subtends a central angle ∠AOB=(6x+12)∘\angle AOB = (6x+12)^{\circ}. The chord CDCD subtends an angle ∠CED=(4x−8)∘\angle CED = (4x-8)^{\circ} at a point EE on the circumference. (i) Find the value of xx. (ii) Hence, determine the measure of ∠AOB\angle AOB. a. (i) Value of xx b. (ii) Measure of ∠AOB\angle AOB

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