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If arc AB = 70°, how many degrees are in ∠ ADB?

2 Answers

3 votes

Answer:

Is 35

Explanation:

User Edhgoose
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2 votes

If D is the center of the circle, ∠ADB = 70°, as that is where the arc gets its measure.

If D is on the circle and not on the arc, ∠ADB = 35°, half the measure of the arc's central angle.

If D is on arc AB, then ∠ADB = 145°, half the measure of the corresponding central angle.

If D is inside or outside the circle (and not one of the above), we need to know more about the measures of arcs intercepted by lines AD and BD.

User Alex Robertson
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