Intersecting chords: the angle and its intercepted arcs

An example figure from the Circle Generator.

A circle with chords AB and CD crossing at E; arc AC is labeled 90°, arc BD is labeled 110°, and the angle AEC between them is labeled x
A circle with two chords, AB and CD, crossing inside it at a point named E. The arc from C to A is labeled 90° and the opposite arc from D to B is labeled 110°, and the angle at E facing arc AC is labeled x, for the angle formed by two chords.

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Answer key

  • x = 100°

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