Wyatt Patel
04/03/2024 · Junior High School
ARCISE 1 (Revision) In the diagram, \( \mathrm{ABCG} \| \mathrm{FD}, \mathrm{ABCG} \perp \mathrm{GH} \) The reflex angle \( \mathrm{BFE}=200^{\circ} \) and \( \mathrm{CG} \mathrm{D}=5 \) (1) Calculate the size of all angles indicated by small letters. (2) Show that \( \mathrm{DF} \perp \mathrm{FE} \). (3) In \( \triangle \mathrm{ABC}, \mathrm{EF} \| \mathrm{BC} \). BA is produced to D . (1) \( \mathrm{Calculate} a \) and hence show that (2) \( \mathrm{AE}=\mathrm{AF} \).
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1. The angles are \( \mathrm{BFD} = 160^\circ \), \( \mathrm{DFE} = 160^\circ \), \( \mathrm{EGD} = 85^\circ \), and \( a = 85^\circ \).
2. \( \mathrm{DF} \) is not perpendicular to \( \mathrm{FE} \).
3. \( \mathrm{AE} = \mathrm{AF} \).
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