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1. In the figure, arc DE=arc EA=arc AB=arc BC and angle DAC =48. Find angle BAE. 2. In the figure, D, E and F are the mid-points of arc BC, arc CA and arc AB respectively. If angle ABC =40 and angle ACB=70, find all the interior angles of triangle DEF.

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1. In the figure，arc DE=arc EA=arc AB=arc BC andangle DAC =48度， Find angle BAE. Sol arc DE=(360度－2*48度)/4=66度 ∠BAE=66度*2/2+48度=114度 2. In the figure，D，E and F arethe mid-points of arc BC， arc CA and arc AB espectively．If angle ABC=40度 and angleACB=70度，find all theinterior angles of triangle DEF. Sol ∠BAC=180度－40度－70度=70度 ∠DEF=(1/4)arcAB+(1/4)arcBC=(1/4)(140度+140度)=70度 ∠DFE=(1/4)arcAC+(1/4)arcBC=(1/4)(80度+140度)=55度 ∠EDF=(1/4)arcAB+(1/4)arcAC=(1/4)(140度+80度)=55度

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