# 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 |