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3 years ago

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

Mathematics

1 answer:

Agata [3.3K]3 years ago

5 0

Answer: 110°

<u>Step-by-step explanation:</u>

∠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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3. Given: Circle Q<A = 35Find: m AB​

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