Aaron is standing at point C, watching his friends on a Ferris wheel. He knows that he is looking up at a 57° angle and the measure of arc BD is 80°. What is the measure of arc AED? °
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8
Answer:
146°
Step-by-step explanation:
in Quadrilateral CBOD
∠C + ∠D + ∠O + ∠B = 360°
∠C = 57° given ∠D = 90° (Tangent) ∠O = (Arc BD is 80°)
=> 57° + 90° + 80° + ∠B = 360°
=> ∠B = 133°
∠OBA = 180° - 133° = 47°
∠OAB = ∠OBA = 47° ( as two sides are equal = Radius)
∠BOA = 180° - 47° - 47° = 86°
∠AOD = 80° + 86° = 146°
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