IMO Level 1- Mathematics Olympiad (SOF) Class 7: Questions 649 - 649 of 1022

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Question number: 649

» Triangle and Its Properties

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Question

In the figure (not drawn to scale), ABC is an equilateral triangle and BCD is an isosceles triangle with DB = DC, find x.

Triangle poly1Triangle poly1: Polygon A, B, CArc dArc d: Semicircle through E and FArc eArc e: Semicircle through J and KSegment cSegment c: Segment [A, B] of Triangle poly1Segment aSegment a: Segment [B, C] of Triangle poly1Segment bSegment b: Segment [C, A] of Triangle poly1Segment fSegment f: Segment [A_1, C_1] Segment gSegment g: Segment [D_1, G] Segment hSegment h: Segment [H, I] Segment iSegment i: Segment [B, D] Segment jSegment j: Segment [D, C] Segment g_1Segment g_1: Segment [D_2, G_1] Segment g_2Segment g_2: Segment [D_3, G_2] Segment f_1Segment f_1: Segment [A_2, C_2] Segment f_2Segment f_2: Segment [A_3, C_3] Point AA = (3.08,4.82) Point AA = (3.08,4.82) Point AA = (3.08,4.82) Point BB = (1.12,1.58) Point BB = (1.12,1.58) Point BB = (1.12,1.58) Point CC = (5.24,1.58) Point CC = (5.24,1.58) Point CC = (5.24,1.58) Point DD = (3.14,3.36) Point DD = (3.14,3.36) Point DD = (3.14,3.36) 96â°text1 = “96â°”xtext1_1 = “x”

Image of a Triangle ABC Having Another Triangle BCD in It

Choices

Choice (4)Response

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