IMO- Mathematics Olympiad Class 6: Questions 389 - 389 of 1049

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Question number: 389

» Understanding Elementary Shapes

MCQ▾

Question

In the given figure, points C, O, B are collinear and AOE=900 and BOD = DOE. Find the values of a, b and c as shown in figure (Figure is now drawn on scale).

Arc c Arc c: Semicircle through G and HArc d Arc d: Semicircle through I and JArc e Arc e: Semicircle through K and LArc k Arc k: Semicircle through M and NLine f Line f: Line through A, BLine f Line f: Line through A, BRay g Ray g: Ray through O, CRay h Ray h: Ray through O, ERay i Ray i: Ray through O, DRay j Ray j: Ray through O, CPoint A A = (2.72, 3.06) Point A A = (2.72, 3.06) Point A A = (2.72, 3.06) Point B B = (10.36, 3.06) Point B B = (10.36, 3.06) Point B B = (10.36, 3.06) Point O Point O: Point on fPoint O Point O: Point on fPoint O Point O: Point on fPoint C C = (8.9, 5.24) Point C C = (8.9, 5.24) Point C C = (8.9, 5.24) Point E E = (8.9, 0.38) Point E E = (8.9, 0.38) Point E E = (8.9, 0.38) Point D D = (9.88, 1.7) Point D D = (9.88, 1.7) Point D D = (9.88, 1.7) 55? text1 = “55? “18? text2 = “18? “z text4 = “z”y text3 = “y”

Image of Some Lines Making Known-Unknown Angles a, B and C

Showing the image of some lines making known-unknown angles then find angles a, b and c

Choices

Choice (4) Response

a.

700,1100,1600

b.

850,1200,1700

c.

650,1050,1100

d.

450,950,1370

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