# IMO Level 1- Mathematics Olympiad (SOF) Class 9: Questions 172 - 177 of 931

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## Question 172

### Question

MCQ▾

ABCD is a trapezium, in which and E & F are points on AD & BC respectively. BD is joined. If , , and , then values of x and y are ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 173

### Question

MCQ▾

In the adjacent figure, PQRS is a rhombus whose diagonals PR and QS intersect at a point O if side PQ = 20 cm and diagonal QS = 24 cm, the length of diagonal PR is ________

### Choices

Choice (4)Response

a.

30

b.

28

c.

32

d.

34

## Question 174

### Question

MCQ▾

The sides BA and DC of the quadrilateral ABCD are produced as shown in the figure, then________.

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 175

### Question

MCQ▾

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 176

### Question

MCQ▾

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 177

### Question

MCQ▾

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 ________

### Choices

Choice (4)Response

a.

13 cm

b.

19 cm

c.

Cannot be determined

d.

16 cm