# IMO Level 1- Mathematics Olympiad (SOF) Class 9: Questions 176 - 181 of 929

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## Question number: 176

» Lines, Angles and Quadrilaterals

### 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

» Lines, Angles and Quadrilaterals

### 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 ________

### Choices

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

a. | 13 cm | |

b. | 19 cm | |

c. | Cannot be determined | |

d. | 16 cm |

## Question number: 178

» Lines, Angles and Quadrilaterals

### 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

### Question

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

1

### Choices

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

a. | 3 Only | |

b. | 1 Only | |

c. | 1 And 3 Only | |

d. | 2 Only |

## Question number: 180

### 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

» Lines, Angles and Quadrilaterals

### Question

In the figure , form a linear pair and . Then a, b respectively are________

### Choices

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

a. | 110˚, 70˚ | |

b. | 120˚, 80˚ | |

c. | 80˚, 120˚ | |

d. | 70˚, 100˚ |