IMO Level 1- Mathematics Olympiad (SOF) Class 7: Questions 653 - 653 of 1022

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Question number: 653

» Practical Geometry - Lines and Angles

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Question

The figure below is not drawn to scale. Find .

Triangle poly1 Triangle poly1: Polygon X, Y, Z Arc d Arc d: Semicircle through E and F Arc e Arc e: Semicircle through G and H Segment c Segment c: Segment [X, Y] of Triangle poly1 Segment a Segment a: Segment [Y, Z] of Triangle poly1 Segment b Segment b: Segment [Z, X] of Triangle poly1 Segment f Segment f: Segment [S, T] Segment g Segment g: Segment [U, V] Vector u Vector u: Vector [A, B] Vector u Vector u: Vector [A, B] Vector u_1 Vector u_1: Vector [A_1, B_1] Vector u_1 Vector u_1: Vector [A_1, B_1] Vector v Vector v: Vector [C, D] Vector v Vector v: Vector [C, D] Vector v_1 Vector v_1: Vector [C_2, D_2] Vector v_1 Vector v_1: Vector [C_2, D_2] Point X X = (5.37,4.17) Point X X = (5.37,4.17) Point X X = (5.37,4.17) Point Y Y = (3.55,1.12) Point Y Y = (3.55,1.12) Point Y Y = (3.55,1.12) Point Z Z = (7.6,1.14) Point Z Z = (7.6,1.14) Point Z Z = (7.6,1.14) Point S Point S: Point on b Point S Point S: Point on b Point S Point S: Point on b Point T Point T: Point on a Point T Point T: Point on a Point T Point T: Point on a Point U Point U: Point on c Point U Point U: Point on c Point U Point U: Point on c Point V Point V: Point on a Point V Point V: Point on a Point V Point V: Point on a 53â° text1 = “53â°” 72â° text1_1 = “72â°”

Image of a Triangle XYZ Making Some Angles by Lines in It

Showing image of a triangle XYZ making some angles by lines in it, so find the angle XYZ

Choices

Choice (4) Response

a.

b.

c.

d.

None of the above