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Answer:
C. 116°
Step-by-step explanation:
The angles created by the tangent and chord are each half of the measure of the circular arc they intercept. So, you can figure angle 1 two ways:
- the supplement of half the arc whose measure is shown: 180°-(128°/2)=116°
- half the measure of the remaining arc of the circle: (360° -116°)/2=232°/2=116°
The measure of angle 1 is 116°.
