# IMO Level 1- Mathematics Olympiad (SOF) Class 9: Questions 161 - 164 of 929

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## Question number: 161

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MCQ▾

### Question

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 Image defines the ABCD is quadrilateral and define two adjacent angles A and B intersect point O, find the value of k

### Choices

Choice (4) Response

a.

5

b.

4

c.

3

d.

2

## Question number: 162

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MCQ▾

### Question

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 Image XYZ is an equilateral triangle, find the area of triangle is JKL

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 163

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MCQ▾

### Question

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 number: 164

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MCQ▾

### Question

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) Adjoining figure, point P the intersection of lines l1 and l2 has coordinates (a, b) as shown here find the ordered pair (a, b)

### Choices

Choice (4) Response

a.

b.

c.

d.