Find x

A circle has chords AB and CD. Both chords intersect at point E inside the circle. Angle AEC = 4x, arc AC = 120 degrees and arc BD = 2x. Find x

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Originally Posted by magentarita

A circle has chords AB and CD. Both chords intersect at point E inside the circle. Angle AEC = 4x, arc AC = 120 degrees and arc BD = 2x. Find x

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It does not make sense to me that

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Angle AEC = 4x, arc AC = 120 degrees

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Originally Posted by mr fantastic

It does not make sense to me that

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The question comes from a textbook that has a picture of this circle but I don't know how to draw it here.