IMO Level 1- Mathematics Olympiad (SOF) Class 7: Questions 567 - 567 of 1022

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Question number: 567

» Practical Geometry - Lines and Angles

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In the figure, (not drawn to scale), BCF is an isosceles triangle with FC = FB, EBF and ABC are straight lines, EB is parallel to GC. Find x.

Arc cArc c: Semicircle through D and HSector dSector d: CircularSector [C, I, J] Sector dSector d: CircularSector [C, I, J] Segment fSegment f: Segment [E, F] Segment gSegment g: Segment [G, C] Segment hSegment h: Segment [C, F] Segment iSegment i: Segment [C, A] Vector uVector u: Vector [K, L] Vector uVector u: Vector [K, L] Vector u_1Vector u_1: Vector [K_1, L_1] Vector u_1Vector u_1: Vector [K_1, L_1] Point EE = (3.22,3.26) Point EE = (3.22,3.26) Point EE = (3.22,3.26) Point FF = (7.74,4.86) Point FF = (7.74,4.86) Point FF = (7.74,4.86) Point GG = (4.44,1.16) Point GG = (4.44,1.16) Point GG = (4.44,1.16) Point CC = (9.32,2.88) Point CC = (9.32,2.88) Point CC = (9.32,2.88) Point AA = (2.62,4.96) Point AA = (2.62,4.96) Point AA = (2.62,4.96) Point BPoint B: Intersection point of f, iPoint BPoint B: Intersection point of f, iPoint BPoint B: Intersection point of f, i48â°text1 = “48â°”xtext2 = “x”

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