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1 vote
3. Given: Circle Q
<A = 35
Find: m AB​

3. Given: Circle Q <A = 35 Find: m AB​-example-1

1 Answer

3 votes

Answer: 110°

Explanation:

∠A ≅ ∠B

since ∠A = 35° (given), then ∠B = 35°

Use the Triangle Sum Theorem to find ∠C:

∠A + ∠B + ∠Q = 180°

35° + 35° + ∠Q = 180°

70° + ∠Q = 180°

∠Q = 110°

The central angle (∠AQB) ≅ arc AB

since ∠AQB = 110° (solved above), then arc AB = 110°

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User Asozcan
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