# IMO- Mathematics Olympiad Class 9: Questions 157 - 162 of 919

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## Question number: 157

MCQ▾

### Question

If the perimeter of a rectangular garden plot is 80 metres, which of the following could be the length of one of its sides?

I. 30 metres

II. 40 metres

III. 50 metres

### Choices

Choice (4) Response

a.

III only

b.

I only

c.

II only

d.

I and II

## Question number: 158

MCQ▾

### Question

The supplement of an angle is 50 more than six times its complement. Find the measure of the angle

### Choices

Choice (4) Response

a.

65˚

b.

56˚

c.

82˚

d.

38˚

## Question number: 159

MCQ▾

### Question

The angles of a triangle are in the ratio . The triangle is ________

### Choices

Choice (4) Response

a.

Right

b.

Acute

c.

Isosceles

d.

Scalene

## Question number: 160

MCQ▾

### Question

The measure of an angle is three times the measure of its supplementary angle. Then the angles are________

### Choices

Choice (4) Response

a.

28˚, 72˚

b.

26˚, 154˚

c.

50˚, 100˚

d.

45˚, 135˚

## Question number: 161

MCQ▾

### Question

In the given figure . Which of the following must be true?

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 162

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 ________

### Choices

Choice (4) Response

a.

3

b.

4

c.

5

d.

2

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