IMO Level 1- Mathematics Olympiad (SOF) Class 9: Questions 161 - 165 of 931

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Question 161

Question

MCQ▾

If the bisectors of two adjacent angles A and B of a quadrilateral ABCD intersects at a point O such that , then value of k is ________

Image Defines the Bisectors of Two Adjacent Angles a and B

Choices

Choice (4)Response

a.

5

b.

4

c.

3

d.

2

Question 162

Question

MCQ▾

XYZ is an equilateral triangle for side . J, K and L are midpoints of XY, YZ and XZ respectively. The area of triangle JKL is (in ) ________

XYZ is an Equilateral Triangle for Side Given

Choices

Choice (4)Response

a.

b.

c.

d.

Question 163

Question

MCQ▾

The supplementary angle of an angle is one fifth of itself. Then the angle of its supplement are________

Choices

Choice (4)Response

a.

160˚, 130˚

b.

150˚, 30˚

c.

160˚, 20˚

d.

150˚, 45˚

Question 164

Question

MCQ▾

In the adjoining figure, point P the intersection of lines l1 and l2 has coordinates (a, b) as shown here. Which of the following could be the ordered pair (a, b) ?

Point P the Intersection of Lines l1 & l2 Has Coordinates (A, B)

Choices

Choice (4)Response

a.

b.

c.

d.

Question 165

Question

MCQ▾

The supplementary angle of an angle is one third of itself. Then the angle of its supplement are________

Choices

Choice (4)Response

a.

135˚, 45˚

b.

120˚, 360˚

c.

60˚, 120˚

d.

60˚, 180˚