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F5 Maths

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figure: http://img138.imageshack.us/img138/9243/37354371.jpg In the figure, O is the centre of the inscribed circle of triangle XYZ. If angle OXZ = 33 and angle OZX = 22, find angle XYZ. A. 50 B. 55 C. 60 D. 62.5 E. 70

最佳解答:

ㄥOXY=ㄥOXZ=33° (tangent prop.) ㄥYXZ=2(33°)=66° ㄥOZY=ㄥOZX=22° (tangent prop.) ㄥXZY=2(22°)=44° ㄥXYZ=180°-66°-44° (ㄥ sum of Δ) =70° (E).70°

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