IMO- Mathematics Olympiad Class 9: Questions 216 - 219 of 919

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Question number: 216

» Lines, Angles and Quadrilaterals

MCQ▾

Question

In the given figure, BO, CO is angle bisectors of external angles of △ABC. Then BOC is ________

Image defines the angle

Image Defines the Angle

Image defines the angles and find the angle values

Choices

Choice (4) Response
a.

90˚+12A

b.

180˚12A

c.

90˚12A

d.

180˚+12A

Question number: 217

» Lines, Angles and Quadrilaterals

MCQ▾

Question

In the figure below, lines XY and MN intersect at O. if POY=90˚ and a:b=2:3 , then XON are equal to ________

 Image defines lines XY and MN intersect at O

Image Defines Lines XY and MN Intersect at O

Image defines the two lines intersect and find the value of ∠XON

Choices

Choice (4) Response
a.

130˚

b.

90˚

c.

126˚

d.

180˚

Question number: 218

» Triangles and Circles

MCQ▾

Question

Triangle PAB is formed by three tangents to circle with center O and APB=80˚ , then angle ACB equals ________

Triangle PAB is formed by 3 tangents to circle with center O

Triangle PAB Is Formed by 3 Tangents to Circle With Center O

Given the Triangle PAB is formed by three tangents to circle with center O and angle APB is 80 then find the angle AOC equals value

Choices

Choice (4) Response
a.

55°

b.

50°

c.

70°

d.

45°

Question number: 219

» Triangles and Circles

MCQ▾

Question

An exterior angle of a triangle is (4x20) and the measure of the two remote interior angles are 25 degree and (x+15) degree. x = ________.

The exterior angle of a triangle and 2 interior angles measure

The Exterior Angle of a Triangle and 2 Interior Angles Measure

Given the exterior angle of a triangle and the measure of the two remote interior angles, find the value of x

Choices

Choice (4) Response
a.

25

b.

20

c.

24

d.

29

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