Understanding Elementary Shapes (IMO- Mathematics Olympiad Class 6): Questions 55 - 58 of 82

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Question number: 55

» Understanding Elementary Shapes

MCQ▾

Question

JKL is a triangle. The side KL is produced to M and K=900 and KJL=300 , then JLM is equal to

Choices

Choice (4) Response
a.

1500

b.

1300

c.

1100

d. None of the above

Question number: 56

» Understanding Elementary Shapes

MCQ▾

Question

In a triangle ABC, A+C=1150 , then B=

Choices

Choice (4) Response
a.

800

b.

650

c.

700

d.

750

Question number: 57

» Understanding Elementary Shapes

MCQ▾

Question

Measure of ACX in the given figure is

Triangle poly1 Triangle poly1: Polygon A, B, CArc d Arc d: Semicircle through F and GArc h Arc h: 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 poly1Ray f Ray f: Ray through C, XPoint A A = (3.74, 4.72) Point A A = (3.74, 4.72) Point A A = (3.74, 4.72) Point B B = (3.8, 1.6) Point B B = (3.8, 1.6) Point B B = (3.8, 1.6) Point C C = (7.4, 1.6) Point C C = (7.4, 1.6) Point C C = (7.4, 1.6) Point X X = (9.58, 1.6) Point X X = (9.58, 1.6) Point X X = (9.58, 1.6) 55? text2 = “55? “

Image of a Triangle With One Given Angle

Showing an image of a triangle with given angles, so find the angle ACX

Choices

Choice (4) Response
a.

1300

b.

1450

c.

1100

d.

1600

Question number: 58

» Understanding Elementary Shapes

MCQ▾

Question

In figure, XYZ=550 and YXZ=650. Find XZW .

Triangle poly1 Triangle poly1: Polygon X, Y, ZArc d Arc d: Semicircle through F and GArc e Arc e: Semicircle through J and KArc f Arc f: Semicircle through A and BSegment c Segment c: Segment [X, Y] of Triangle poly1Segment a Segment a: Segment [Y, Z] of Triangle poly1Segment b Segment b: Segment [Z, X] of Triangle poly1Segment g Segment g: Segment [Z, W] Point X X = (5, 5) Point X X = (5, 5) Point X X = (5, 5) Point Y Y = (3.26, 2) Point Y Y = (3.26, 2) Point Y Y = (3.26, 2) Point Z Z = (7.44, 1.98) Point Z Z = (7.44, 1.98) Point Z Z = (7.44, 1.98) Point W W = (12, 2) Point W W = (12, 2) Point W W = (12, 2) ? text1 = “? “65? text1_1 = “65? “55? text1_2 = “55? “

Image of a Triangle XYZ Having an External Angle XZW

Showing an image of a triangle XYZ having an external angle XZW then find angle XZW

Choices

Choice (4) Response
a.

600

b.

1100

c.

800

d.

1200

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