# IMO Level 1- Mathematics Olympiad (SOF) Class 9: Questions 175 - 181 of 929

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## Question number: 175

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MCQ▾

### Question

The supplement of an angle is 30 more than five times its complement. Find the measure of the angle

### Choices

Choice (4) Response

a.

38˚

b.

65˚

c.

67.5˚

d.

56˚

## Question number: 176

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MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

50˚, 200˚

b.

36˚, 144˚

c.

18˚, 72˚

d.

40˚, 160˚

## Question number: 177

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MCQ▾

### Question

In the given figure, ABCD is a trapezium in which AB = 7cm, AD = BC = 5 cm, DC = x cm and the distance between AB and CD is 4 cm. Then the value of x is ________ Image Defines the ABCD is a Trapezium Image defines the ABCD is a trapezium and find the value of x

### Choices

Choice (4) Response

a.

13 cm

b.

19 cm

c.

Cannot be determined

d.

16 cm

## Question number: 178

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MCQ▾

### Question

If two complementary angles are in the ratio 13: 5, then the angles are________

### Choices

Choice (4) Response

a.

65˚, 25˚

b.

13 x˚, 5 x˚

c.

15˚, 85˚

d.

65˚, 35˚

## Question number: 179

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MCQ▾

### Question

If a right triangle has sides of length 1 and , which of the following could be the length of the remaining side?

1. 1

### Choices

Choice (4) Response

a.

3 Only

b.

1 Only

c.

1 And 3 Only

d.

2 Only

## Question number: 180

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MCQ▾

### Question

If and x and y are positive integers, then y could be which of the following?

### Choices

Choice (4) Response

a.

4

b.

5

c.

3

d.

2

## Question number: 181

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MCQ▾

### Question

In the figure, form a linear pair and . Then a, b respectively are________ Image Defines Angles That Form a Linear Pair Image defines the angles that form a linear pair and find a and b

### Choices

Choice (4) Response

a.

110˚, 70˚

b.

120˚, 80˚

c.

80˚, 120˚

d.

70˚, 100˚