IMO- Mathematics Olympiad Class 7: Questions 649 - 649 of 965

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Question number: 649

» Triangle and Its Properties

MCQ▾

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 poly1 Triangle poly1: Polygon A, B, CArc d Arc d: Semicircle through E and FArc e Arc e: Semicircle through J and KSegment c Segment c: Segment [A, B] of Triangle poly1Segment a Segment a: Segment [B, C] of Triangle poly1Segment b Segment b: Segment [C, A] of Triangle poly1Segment f Segment f: Segment [A_1, C_1] Segment g Segment g: Segment [D_1, G] Segment h Segment h: Segment [H, I] Segment i Segment i: Segment [B, D] Segment j Segment j: Segment [D, C] Segment g_1 Segment g_1: Segment [D_2, G_1] Segment g_2 Segment g_2: Segment [D_3, G_2] Segment f_1 Segment f_1: Segment [A_2, C_2] Segment f_2 Segment f_2: Segment [A_3, C_3] Point A A = (3.08, 4.82) Point A A = (3.08, 4.82) Point A A = (3.08, 4.82) Point B B = (1.12, 1.58) Point B B = (1.12, 1.58) Point B B = (1.12, 1.58) Point C C = (5.24, 1.58) Point C C = (5.24, 1.58) Point C C = (5.24, 1.58) Point D D = (3.14, 3.36) Point D D = (3.14, 3.36) Point D D = (3.14, 3.36) 96â° text1 = “96â°”x text1_1 = “x”

Image of a Triangle ABC Having Another Triangle BCD in It

Showing an image of a triangle ABC having another triangle BCD in it

Choices

Choice (4) Response

a.

110

b.

260

c.

180

d.

320

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