# IMO Level 1- Mathematics Olympiad (SOF) Class 9: Questions 170 - 175 of 931

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## Question 170

### Question

MCQ▾In a parallelogram PQRS, , then the measurement of ∠S is ________

### Choices

Choice (4) | Response | |
---|---|---|

a. | 65˚ | |

b. | 100˚ | |

c. | 75˚ | |

d. | 95˚ |

## Question 171

### Question

MCQ▾The angles of quadrilateral are in the ratio . All angles of a quadrilaterals are________

### Choices

Choice (4) | Response | |
---|---|---|

a. | 30˚, 90˚, 60˚, 20˚ | |

b. | 30˚, 60˚, 45˚, 15˚ | |

c. | 45˚, 20˚, 30˚, 60˚ | |

d. | 36˚, 60˚, 108˚, 156˚ |

## 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˚ |