Angles in the same segment

An example figure from the Circle Generator.

A circle with points A and B at the bottom and C and D at the top; chords from C and from D to A and B make two angles on the same arc, the one at D labeled 70° and the one at C labeled x — A circle with A and B on its lower part and C and D on its upper part. Chords run from C to A and B and from D to A and B, crossing in the middle, so the angles at C and D both stand on the arc AB. The angle at D is marked and labeled 70°, and the angle at C is marked and labeled x.

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Answer key

x = 70°

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